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square

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racine carrée 2000-11-24
G. Bigorgne pose la question :
Quel est donc l'origine de l'expression "racine carrée" ? Pourquoi avoir choisi cette expression ?
Claude Tardif lui répond.
The units digit of a square 2021-09-04
Aarzu pose la question :
Sorry this may be a dumb question but how do you find possible unit digits of a perfect square
Penny Nom lui répond.
A 2.5 acre square 2021-01-09
hannah pose la question :
how many feet of fence needed to fence a square 2.5 acres??
Penny Nom lui répond.
1 square cm is 100 square mm 2020-06-19
macie pose la question :
explain why the conversion factor for cm squared to mm squared is 100 ,and not 10
Penny Nom lui répond.
Why is a square a rectangle but a rectangle is not a square? 2020-04-15
A parent pose la question :
Why is a square a rectangle but a rectangle is not a square? Explain your answer.
Penny Nom lui répond.
A pond in a garden 2020-04-09
Jin pose la question :
c) I have a large square pond set inside a square garden: both the pond and the garden have sides which are a whole number of metres, and outside the pond, the garden is grassed over. The area covered by grass is 188 square metres. Find the area of the pond. (5 marks)
Penny Nom lui répond.
A circle in a square 2020-04-02
Sabra pose la question :
Hello, I have twins in the 7th grade that are learning how to find circumference of circles. I am struggling with figuring out how to help my children to find the answer to this question:

Tye has a square piece of yellow felt that has an area of 81 square inches. She wants to cut the largest circle possible from the material to create a sun for her art project. What is the area of the felt circle? Use 3.14 for pi. Round to the nearest hundredth if necessary.

I wasn't sure if I am to find the area of the circle through finding the area of the square or what steps we needed to follow to find the answer. Once I can see how one is worked out step-by-step, I usually can help them along with questions that are similar.

Penny Nom lui répond.
The fencing needed for a square pasture 2019-12-10
Penny pose la question :
I'm trying to calculate how many feet of fence I will need to fence a 4 acre square pasture.
Harley Weston lui répond.
A hexagonal planter 2019-11-19
Colleen pose la question :
I need to build a hexagon planter around a 32” square box. How long is each side of the hexagon?
Penny Nom lui répond.
4" x 4" square tiles 2019-09-18
Jill pose la question :
how many 4" x 4" square tiles would I need for 50 square feet?
Penny Nom lui répond.
Why does the circle have a larger area? 2019-09-16
A student pose la question :
given a circle and square of same perimeter, why does the circle have a larger area

I’m looking for an intuitive explanation rather than a computational one. Thanks

Harley Weston lui répond.
What is -5 squared? 2019-09-10
Pori pose la question :
What is -5 squared?
Penny Nom lui répond.
Price per square meter to price per square inch 2019-07-09
Al pose la question :
If something costs $2.5 square meter, how much would it cost in square inches? How do i convert costs per square inch, into square meters?
Harley Weston lui répond.
How many cubes are in a 3x3x3 cube? 2019-06-24
Darren pose la question :
Dear Sir/Madam, How many cubes of different sizes (eg. 1x1x1, 2x2x2, 3x3x3) are there in total in say, a 3x3x3 cube? I have trouble figuring this out.

Yours faithfully,
Darren

Penny Nom lui répond.
An 80 acre square 2019-05-11
Linda pose la question :
How long and wide is an 80-acre piece of land that is square?
How long and wide is a 160-acre piece of land that is square?

Penny Nom lui répond.
Volume and Surface area of a sphere 2019-05-03
Caitlin pose la question :
Why does the surface area formula of a sphere have a squared radius while the volume of a sphere has a cubed radius?
Penny Nom lui répond.
Fractions with roots 2019-02-06
DEBMALYA pose la question :
5/√2+√3 –1/√2–√3
Penny Nom lui répond.
The inverse square law 2018-06-05
Amy pose la question :

Question about inverse square law ;

Hi, I'm trying to understand some nuances about this law and
have been reading about it a lot online and trying out some homework
for personal interest (hobby ) - not school related.

I understand that the simple formula is ; 1/d^2

I was wondering about what appears to be an oddity to me, that
I came across when I was working with a test example I found at this
link ;

http://www.softschools.com/formulas/physics/inverse_square_law_formula/82/

The problem that caught my interest was this one on that page ;

"1) If a bright flashlight has a light intensity of 15.0 candela at a distance 1.00 m from the lens, what is the intensity of the flashlight 100.0 m from the lens?"

So I have a few different questions about this, but the most important
one is, what does it mean if we replace the "1" in ; 1/d^2 with a different value such as a ratio in the form of a decimal value, so instead we have something like this ;

0.75/d^2

???

Does this ratio represent a curve then?

I am thinking that the "1" in the normal formula represents a straight line

Some of the links I was researching ;

http://wisptools.net/book.php?c=3&s=2

http://www.softschools.com/formulas/physics/inverse_square_law_formula/82/

https://www.nde-ed.org/GeneralResources/Formula/RTFormula/InverseSquare/InverseSquareLaw.htm


Penny Nom lui répond.
Subdividing a rectangle into squares 2018-05-13
jeverzyck pose la question :
A rectangular board is 108cm wide and 156 cm long Equal squares as large as possible are ruled off this board.Find the size of the square.How many squares are there?
Penny Nom lui répond.
The square root 3 in exponential form 2018-05-09
Paige pose la question :
how do you write the square root 3 in exponential form
Penny Nom lui répond.
A side of a square 2018-04-06
Angie pose la question :
I am dyslexic and have problems with spelling and math I'm trying to figure 4.610 Acres Square trying to figure out how many feet or yards of one side if that makes sense to you thank you I'd really appreciate the help
Penny Nom lui répond.
The price of a sheet of metal 2018-04-02
Nydia pose la question :
What is the formula to calculate the following:

I nee to find out what the sheet price be. The dimensions are 2000x3000 mm into ft they are 78x1181. The sqft price I have is $22.16. How do I figure out the sheet price from that?

Penny Nom lui répond.
Expand (5x-9)(5x+9) 2018-03-01
adil pose la question :
expand the following:
(5x-9)(5x+9)

Penny Nom lui répond.
The perimeter of a square 2018-02-25
Alicia pose la question :
What's the perimeter of a square with 441cm square
Penny Nom lui répond.
2.5 gallons of liquid, one half an inch deep 2018-02-21
Cain pose la question :
How many square feet would 2.5 gallons of liquid cover at half an inch deep?
Penny Nom lui répond.
A question about perfect squares 2018-02-04
Jolyn pose la question :
Find the smallest possible value of a whole number m if 648x m is a perfect square
Penny Nom lui répond.
The square root of 6 is irrational 2017-10-02
John pose la question :
http://mathcentral.uregina.ca/QQ/database/QQ.09.06/sylvia1.html
In the initial assumption of that proof, root 6 is assumed to be a/b where a and b have no common factors, but why does having a common factor make it irrational?

Penny Nom lui répond.
Squares and rectangles 2017-07-15
Tront pose la question :
So, there's a general rule that all squares are rectangles but not all rectangles are squares. Im trying to find a term that would describe this relationship. I've found that if all of A is B but not all B is A then I'd say that A is a subset of B, but is there a term that describes the relationship as a whole? I don't want to describe the components, I want to describe the relationship as a whole.
Penny Nom lui répond.
A square peg in a round hole 2017-05-29
bill pose la question :
bill wants to put a 2 foot square peg into a round hole What must be the circumference of the hole?
Penny Nom lui répond.
A 40 acre square 2017-05-14
Richard pose la question :
How many feet on each side of 40 acre square ?
Penny Nom lui répond.
1 acre as a 2 foot wide strip of land 2017-04-25
alan pose la question :
How can one convert 2 acres (a square - area) of land into a strip of land that is 2 feet wide and (?) feet long?
Penny Nom lui répond.
The cost of a piece of sheet metal 2017-04-14
Mohammed pose la question :
I bought a 2 mm sheet plate of 1.2m × 2.4m in fijian $95. I used 1.95m × 0.4m from that sheet plate. What will be my total cost for the sheet plate I used. It was a mild steel plate.
Penny Nom lui répond.
How much money do I make per sq ft? 2017-03-28
jackie pose la question :
If I make $12.00 per hour and I cover 750 sq ft in one hour, how much money do I make per sq ft?
Penny Nom lui répond.
An octagon from a square 2016-12-26
Chris pose la question :
We have a square piece of wood (30 inches x 30 inches) that we need to cut into an octagon. Is there a simple way to figure out where to make the marks/points to cut? I mean like really simple?

Thanks!

Penny Nom lui répond.
1/1-cosine(2x) - 1/1+ cos(2x) 2016-12-14
Sean pose la question :
1/1-cosine(2x) - 1/1+ cos(2x)
Penny Nom lui répond.
x^2 = -16 2016-12-12
A student pose la question :
x to the second power = -16

what number solves the equation?

Penny Nom lui répond.
A square inside a circle inside a square 2016-11-13
Jeff pose la question :
Greetings,

I came across a question from a textbook from years ago. I've been trying to solve it, but am not sure if my approach is correct.

There are 2 squares (1 inner, 1 outer) & 1 circle.

The inner square is the largest square that will fit inside the circle. It has an area of 1 unit.

The circle is the biggest that will fit in the outer square.

What is the area of the outer square?

Penny Nom lui répond.
A search area 2016-08-13
tammy pose la question :
if your searching an area and you go 300 km from point A and search 380° what or how much area would you search?
Penny Nom lui répond.
A patio slab 2016-04-27
Heaven pose la question :
Allie used 11.7m^3 of cement to make a square patio. If the thickness of the patio is 15 cm,what is the length of the patio?
Penny Nom lui répond.
A square of side length 4x-3 units 2016-04-20
Bryan pose la question :
Find an expression that represents the area of a square with side length 4x-3
Penny Nom lui répond.
The diagonal of a 10 acre square 2016-04-11
Derrick pose la question :
I own 100 acre square of land. I want to run from farthest corner of property to farthest corner, Diagonally. How many miles would I have traveled?
Penny Nom lui répond.
The area of a circle and a square 2016-04-10
Richard pose la question :
I cannot understand why if you have a perimeter say of 4 units as the circumference of a circle then you reshape it into a square you lose very approximately some 20% of its volume but the perimeter length stays the same.
Can you please explain this to me as to why the volume decreases.

Penny Nom lui répond.
A square based box and a cylinder 2016-03-26
rajpal pose la question :
i m trying to calculate an area required to hold 4.4 mln cubic metres of volume. I used square and I get below result

A box shape that has dimensions 1500 meters (1.5km) by 1500 meters (1.5km) by 2 meters depth has a volume of:
= 4,500,000 cubic meters (4.5 mln cubic meters)

but when I use a cylinder shape, i get below result

A cylindrical shape that has a radius of 850 meters and a depth of 2 meters has a volume of:
= 4,539,600 cubic meters (4.54 mln cubic meters approx)

why is it that the cylinder, though of same depth holds more volume than a square? kindly clarify.

Penny Nom lui répond.
The perimeter of a square 2016-01-16
dennis pose la question :
If I have eleven Square Acres, what would the perimeter dimensions be?
Penny Nom lui répond.
The perimeter of a one quarter acre square 2016-01-15
Kerry pose la question :
If you have a perfect square that is one quarter of an acre what are the length of the sides and how do you arrive at the solution? thank you, Kerry.
Penny Nom lui répond.
The perimeter of a 4 acre square 2015-12-16
samantha pose la question :
What is the distance in miles or how many laps to make a mile, if one was walking around 4 acres of land which is like a square?
Penny Nom lui répond.
Roof Square footage 2015-11-11
Todd pose la question :

Question from Todd:

Good Day.
I have to figure out the square footage of a quonset style roof that's not playing by the rules The building dimensions (rectangular) are 63'x135' the height of the roof is 9.25'. It not an entire Quonset, It's that style of roof,(curved). There are concrete block walls 10' up to the metal roof.

Thank you!

Todd


Harley Weston lui répond.
Square roots 2015-09-21
mariana pose la question :
I have read various articles on how to find the square root of irrational numbers and every article out there seems to be very confusing.
i read you answer to LUKOW about irrational numbers and i am still quite confused. Say i want to find the square root of 326. i know that it is between 18 and 19 because 18 is the square root of 324 and 19 is the square root of 361 im just very confused about the rest of the process. Please help! ( if possible i would appreciate two examples. thanks)

Penny Nom lui répond.
A procedure for finding a square root 2015-08-27
Tracey pose la question :
Is there a method/process to determine the square root of a large number?

For example, Tiananmen Square's area is 396 900m sq., what is the side length?


Thank you,
Tracey

Harley Weston lui répond.
Why is the area of square not conserved when it changes to a rhombus? 2015-06-28
shubham pose la question :
Why is the area of square not conserved when it changes to a rhombus, both have equal sides still rhombus have less area than square.??
Penny Nom lui répond.
2^48 - 1 2015-06-13
Soham pose la question :
The number 2^48-1 is divisible by two numbers between 60 and 70. The sum of the two numbers is?
Penny Nom lui répond.
A square and a rectangle 2015-05-01
nick pose la question :
why is the area of a square of a given circumference greater than the area of a rectangle with the same circumference ?
Penny Nom lui répond.
A circle inscribed in a square 2015-04-19
michael pose la question :
A circle is drawn in a square PQRS. If the total area of the shaded portion of the square is 42 cm square, calculate the radius of the circle
Penny Nom lui répond.
An 8 pointed star inscribed in a circle 2015-04-10
Kermit pose la question :
How do you find the area of the star that is formed by two squares and surrounded by a circle. The only given information is that the radius of the circle is 10.
Penny Nom lui répond.
Is a rhombus a square? 2015-03-24
Justin pose la question :
Is a rhombus a square?
Penny Nom lui répond.
The center and radius of a circle 2015-02-06
ariana pose la question :
I need to find the center and the radius of this circle. I don't know how to put 9/2 than square it into a fraction.

x^2 + 2x + y^2 +9y=5

Penny Nom lui répond.
Is a square a trapezoid? 2015-01-26
Katie pose la question :
Can a trapezoid sometimes be a square?
Penny Nom lui répond.
A line segment of length root 5 2014-12-15
angela pose la question :
On the dot grid below, draw and label a line segment with length square root 5 the dot grid is 8 by 10
Penny Nom lui répond.
A truncated, square-based pyramid 2014-11-23
Hannah pose la question :
A designer vase has the shape of a truncated, square-based pyramid. The base of the vase is a square with a side length of 15 cm. The area of the square opening is 70.56 cm2. Each of the four sides is a trapezium with slant sides 9 cm long. Find (to the nearest square centimetre) the total surface area of the vase.
Penny Nom lui répond.
How many square feet in 10 gallons of liquid at 1/4 in thick? 2014-11-14
Rich pose la question :
How many square feet in 10 gallons of liquid at 1/4 in thick
Penny Nom lui répond.
(x-3)^2-(x+3)^2 2014-11-13
Bernice pose la question :
(x-3)^2-(x+3)^2
Penny Nom lui répond.
What is -3 squared? 2014-11-12
Christine pose la question :
On a math test, it said "What is -3 squared?" It did NOT say "What's is (-3)squared"

The teacher's explanation is that if there are no brackets or parenthesis, you ALWAYS square the number first then do the negative, so the answer should be -9, but I can't find anywhere that confirms this.

Help please.

Robert Dawson lui répond.
A truncated square-based pyramid 2014-10-22
Beth pose la question :
How do you find the height of the original square-based pyramid when given the sides (12cm) of the base and height (6cm) of the truncated pyramid, as well as the sides (3cm) of the base of the chopped off top (chopped off parallel to the base)?
Penny Nom lui répond.
How do you convert square mm to square cm? 2014-08-13
David pose la question :
How do you convert square mm to square cm?
Tyler Wood lui répond.
Covering a 12 inch by 12 inch square hole 2014-07-02
Patricia pose la question :
I am putting in a new bathroom fan. I am wondering if a new light with a 15 inch diameter will cover the existing square hole which is 12 by 12 inches? If the existing hole is 11 1/2 by 11 1/2 inches?

Also, if the 15 inch diameter does not cover the 12 by 12 hole, what size diameter would?

Thank you.

Penny Nom lui répond.
A circle a square and a rectngle 2014-05-12
mazhar pose la question :
suppose the length and breadth of the rectangle are 5 cm and 10 cm respectively and M is a point along the corner of the circle. what is the radius of the circle?(diagram is given..but i didn't mention it..actually the diagram looks like a circle inscribed in a square and the right bottom corner one rectangle will be given ,it is touches to circle at a point M that I've already mentioned and the dimensions of that rectangle also I've mentioned) please help me out..
Penny Nom lui répond.
A square garden 2014-02-09
reeta pose la question :
Inside a square garden of side 158m, a road 4m wide is built all around. What is the area of the remaining part of the
Penny Nom lui répond.
A square frame 2014-01-01
steve pose la question :
using 6" wide boards how many inches would each of 4 boards equal in length need to be to produce a square with an inside perimeter of 84 inches on a side? what is the exterior perimeter? There is to be 45 degree cuts at each end of each board. What formula is used to make this calculation?
Harley Weston lui répond.
Can 100r^2-81z^2 be factored? 2013-12-08
Rosa pose la question :
Can 100r^2-81z^2 be factored?
Penny Nom lui répond.
Fractions and square roots 2013-12-04
arionne pose la question :
How do you solve a square root with improper fractions like 121 over 49
Penny Nom lui répond.
A square inscribed in a circle 2013-10-14
Jenn pose la question :
Hello! I am about to buy a 7'9" round rug, but I want to have it cut down into a square. What's the largest square I can obtain from this? Thank you!
Penny Nom lui répond.
The perimeter of a 1.4 acre square 2013-08-29
Destini pose la question :
I cannot figure out what the perimeter for 1.4 acres of land in the shape of a square. I have tried and tried and eventually tried to use a calculator and I still can't figure it out. Can you help me? Thanks!
Destini

Penny Nom lui répond.
Squares and cubes 2013-08-02
Sandra pose la question :
What whole number equals 25 when it is squared and 125 when it is cubed?
Penny Nom lui répond.
The square footage of a 17 inch by 17 inch tile 2013-05-18
Leroy pose la question :
How do I calculate the square footage of a 17inch by 17 inch tile
Penny Nom lui répond.
(4- 4cos^4 x)/(sin^2 x) 2013-05-18
Agnes pose la question :
How I can solve this question :

Simplify (4- 4cos^4 x)/(sin^2 x) and write in terms of sin x

Penny Nom lui répond.
We have 2 teams of 6 couples each that play 6 games 2013-01-25
Denise pose la question :
We put together a game night where we have 2 teams of 6 couples each that play 6 games. We haven't been able to figure out an arrangement that allows each couple to play each game with a different couple from the opposite team (i.e. Team A couples play every game with a different couple from Team B). Is this possible? It works with 2 teams of 5 couples each.
Chris Fisher lui répond.
Milling round stock to square stock 2012-12-17
Bryan pose la question :
Question from Bryan:
I want to know what the smallest diameter round is that will make a 3-1/4" square? Is there a formula for that? I am milling round stock into square.
Thank you.

Harley Weston lui répond.
Difference of squares 2012-11-19
Qelibar pose la question :
Please factorise x^2y^2 - 4
Penny Nom lui répond.
The square of any odd number, decreased by 1, is divisible by 8 2012-11-16
bailey pose la question :
Prove that the square of any odd number, decreased by 1, is divisible by 8
Penny Nom lui répond.
Square root 2012-10-27
Ashley pose la question :
what does square root means
Penny Nom lui répond.
3 acres 2012-10-16
Katy pose la question :
If 3 acres of land were a complete square, how many feet would be on each side?
Penny Nom lui répond.
0.687 acres in square feet. 2012-07-18
Roy pose la question :
The land parcel I am looking at says Acreage .687 how do I determine square feet?
Robert Dawson lui répond.
Two equations involving fractions 2012-06-12
Fatima pose la question :
Hi ,teacher gave two question to my daughter as follows
Solve 2/x+3=(1/xx-9)-(1/x-3)and
Solve (4/x-2)-(x/x+2)=16/xx-4


Please help me
Thanks & regards fatima

Penny Nom lui répond.
Two ways that a deck is square 2012-04-30
romel pose la question :
describe two ways that a deck is square
Penny Nom lui répond.
The price per square inch of a pizza 2012-03-17
jordan pose la question :
pizzaz pizza sells a small pizza for $10.99.it has a diameter 10 inches.what is th price per square inch ?
Penny Nom lui répond.
Square numbers 2012-03-17
david pose la question :
How many square numbers are there between 0 to 100?
Penny Nom lui répond.
A road around a garden 2012-02-07
Manu pose la question :
Inside a square garden of side 158m, a road 4m wide is built all around. What is the area of the remaining part of the garden?
Penny Nom lui répond.
A quartic polynomial that is a perfect square 2012-02-05
archit pose la question :
If P(x)=x^4+ax^3+bx^2-8x+1 is a perfect square then (a+b)=?
Penny Nom lui répond.
Sum and difference of squares 2011-12-31
Anne pose la question :
Se x e y são números reais distintos, então:
a) (x^2 + y^2) / (x - y) = x + y
b) (x^2 + y^2) / (x - y) = x - y
c) (x^2 - y^2) / (x - y) = x + y
d) (x^2 - y^2) / (x - y) = x - y
e) Nenhuma das alternativas anteriores é verdadeira.

Harley Weston lui répond.
Triangular numbers that are square 2011-12-27
Luke pose la question :
The “TnS” is a positive integer which is both Triangular number and Square number. For example, 36 is a “TnS” number since 36=1+2+3+4+5+6+7+8 (Triangular number) and 36=6x6 (Square number). What is the next “TnS” which is greater than 36?
Penny Nom lui répond.
Squares and triangles 2011-12-06
Liaqath pose la question :
You have squares and triangles.
Altogether there are 33 sides.
How many squares do you have?
How many triangles do you have?

Penny Nom lui répond.
The square root of z=3+4i 2011-10-27
dianah pose la question :
how to find the square roots of complex number, z=3+4i
Robert Dawson lui répond.
U(n+1) = 2Un + 1 2011-05-22
Cillian pose la question :
In a certain sequence, to get from one term to the other you multiply by 2 and add 1, i.e. This is a difference equation of form: U(n+1) = 2Un + 1. prove that there is a maximum of 2 perfect squares in this sequence
Claude Tardif lui répond.
A rational number 2011-05-17
owais pose la question :
according to definition of irrational number "a number which cannot be expressed in p/q form is called irrational number" square root of 2 is a irrational number but if i round off the digit correct to two decimal places so it becomes 1.41 and we can easily convert into p/q form so it is a rational number ???
Penny Nom lui répond.
Two whole numbers 2011-05-11
yolanda pose la question :
The sum of two whole numbers is 12.If the sum of the squares of those numbers is 74,what are the two numbers?
Penny Nom lui répond.
A circle in a square in a circle in a square 2011-03-29
George pose la question :
A circle within a square which is inside a larger circle which is also within a square. (a circle in a square inside a circle in a square) Equation of the smaller circle is: x ^ 2 x y ^ 2 = 25. What are the dimensions of the larger square? Been 40 years, trying to help my son.
Penny Nom lui répond.
(3x+4y)^2 - (2x-y)^2 2011-03-16
Taiwo pose la question :
pls could some one help me with this question? thanks as lot

factorize:
(3x+4y)^2 - (2x-y)^2

Penny Nom lui répond.
A circle inside a square 2010-12-31
Jenn pose la question :
A circle of a diameter of 2 is drawn inside a square of 4. The circle's center is at the center of the square. To the nearest tenth, what is the perimeter of the area of the square, not including the circle inside.
Penny Nom lui répond.
A rectangular piece of plywood 2010-11-30
Austin pose la question :
A rectangular piece of plywood is trimmed to make it square by cutting a 4cm strip off the top and a 2cm strip off one side. If the area of the original piece is 74cm2 greater than the area of the square, find the dimensions of the rectangle.
Penny Nom lui répond.
I have a sign size regulation I have to meet. 2010-10-26
Scott pose la question :
I have a sign size regulation I have to meet. The size is .6 meters squared. at first look this would be 2 ft x 2 ft. I believe it would be larger then that. Can you confirm what the size would be in inches please.
Penny Nom lui répond.
Tiles on a bedroom floor 2010-10-07
Rochelle pose la question :
John's bedroom floor is square in shape. He used 625 tiles, with a side length of 200 mm, to tile the whole floor. Calculate the area and dimensions of the bedroom
Penny Nom lui répond.
What is -2^2? 2010-08-25
alex pose la question :
I know that (-2)^2 is 4 but what is -2^2?
Robert Dawson and Penny Nom lui répond.
A square field has an area of 289 meter squared 2010-08-02
daniel pose la question :
a square field has an area of 289 meter squared. How do you calculate the dimensions
Stephen La Rocque and Penny Nom lui répond.
The area of a 4 sided region 2010-07-14
Cliff pose la question :
If I wanted to know the square footage of an area that has four different sides and only had the length of one side and the angles at the ends of that length; could the other lengths be found if I wanted to have a total of 130,680 square feet?
Robert Dawson and Tyler Wood lui répond.
Four circles in a square 2010-06-04
Daniela pose la question :
four circles are drawn in a square such that the circles are tangent to each other as shown. find the area of the shaded region. It the goes on to show a diagram with a square and four circles drawn in it. The length of a side of the square is 24. Please help me!
Penny Nom lui répond.
A square pyramid 2010-05-26
Georgia pose la question :

Question from Georgia, a student:

I have been given the following question in a maths assingment, and have so far been unable to answer it.

To begin, i am required to draw a square pyramid as follows:
1. draw a 3 dimensional diagram of a square based pyramid
2. label the square base as ABCD, call the vertex H.
3. Mark in E and F the midpoints of AD and BC respectively and O is the midpoint of EF
Note: this therefore makes FO = FC

this i was fine with, it was the following question that stumped me.

1. if the height of the pyramid is 280m, what is the length of the base?

Thanks, Georgia


Chris Fisher lui répond.
A square inscribed in a circle 2010-05-25
Middle pose la question :
what is the perimeter of a square inscribed in a circle of radius 5.0 inches?
Penny Nom lui répond.
How many sq. ft in 2 1/2 ft x 2 1/2 ft? 2010-05-16
jim pose la question :
how many sq. ft in 2 1/2 ft x 2 1/2 ft
Penny Nom lui répond.
Tiles 2010-04-25
Pat pose la question :
how many 6 inch tiles will I need to purchase for an area that is currently covered with 351 4 inch by 4 inch tiles. Each box of 6 inch tiles states it contains 16 pieces and covers 4 square feet.
Penny Nom lui répond.
A 12 foot by 12 foot room 2010-04-20
Dominique pose la question :
The room is 12ft by 12ft. How many yards must be purchased for the carpet?
Penny Nom lui répond.
Two problems 2010-04-13
Dorothy pose la question :
1. Explain why the number 123, 456, 789, 101, 112 cannot be a perfect square. (Hint: What is the units digit?)

2. A substance doubles in volume every minute. At 9:00A.M., a small amount is placed in a container. At 10:00A.M., the container is just full. At what time was the container one-eighth full?

Robert Dawson lui répond.
A roll of polythene 2010-04-04
Mary pose la question :
I have an area of 54square metres to cover how many rolls of 2m x 50m polythene do I need
Penny Nom lui répond.
The side length of a square 2010-03-08
tara pose la question :
am trying to help my brother's daughter in maths, tomorrow she has maths exam 1. Area of sq. picture is 441 sq.cm what is the length of its side.
Penny Nom lui répond.
A related rates problem 2010-03-03
Amanda pose la question :
A circle is inscribed in a square. The circumference of the circle is increasing at a rate of 6 inches per second. As the circle expands, the square expands to maintain the tangency. Determine the rate at which the area of the region between the circle and square is changing at the moment when the cricle has an area of 25(pi) square inches.
Penny Nom lui répond.
A perfect square 2010-02-20
george pose la question :
can this number 400....006 be a perfect square . how to solve problems like this.
Chris Fisher and Tyler Wood lui répond.
The perimeter of a square 2010-02-18
richard pose la question :
My question is: In yards what is the perimeter of a piece of land totaling 6.2 acres. This land is a perfect square.
Melanie Tyrer lui répond.
A magic square 2010-02-18
Mika pose la question :
place the integers from -5 to +10 in the magic square so that the total of each row, column, and diagonal is 10.
Tyler Wood lui répond.
Square poles 2010-02-16
Steve pose la question :
If 1 pole=16.5', and you have an area that is 146 sq. poles, how many sqaure feet would you have? I calculate that to be 146(16.5)X146(16.5)=5,803,281 sq. feet Is that correct? I am told I need to divide by 146, which makes the answer 39,748. I do not understand why I need to divide by 146....
Penny Nom lui répond.
A square corner 2010-02-11
Trevor pose la question :
I am building a new house and wish to set it out on site with the use of profile boards and string. I want to be certain it is correct in terms of squareness. I have a vague idea that the square on the hypotenuse should be equal to the sum of the squares of the other two sides.

I get a little lost here and need some help. The building is a rectangle measuring 40x30 feet to exterior brickwork. I guess that the length of the hypotenuse should be exactly the square root of the combined squares of the two sides.

Using the above measurements could you give me calculations from nuts to soup as to the correct length of the diagonal. And what adjustments are needed if everthing is not in accord.

Trevor.

Robert Dawson lui répond.
Bending a wire to form shapes 2010-02-04
Geraldine pose la question :
a wire bent into the shape of a square encloses an area of 25cm squared. then the same wire is cut and bent into two identical circles. what is the radius of one of the circles round to the nearest hundred
Penny Nom lui répond.
Is it a square? 2010-01-29
Manick pose la question :
I have a question. how to find whether a given integer is a perfect square or not?
Robert Dawson lui répond.
Area in square meters 2010-01-20
Carla pose la question :
A football field is 120 yd long and 50 yd wide. What is the area of the football field, in square meters?
Penny Nom lui répond.
The square root of a large number 2010-01-19
darlene pose la question :
I understand the simple process, like 12 is the root to 144 but what happens when the number is 42563. Without a calculator how does a person figure this out during a timed test?
Robert Dawson lui répond.
Cutting a square into four shapes 2010-01-05
Tracy pose la question :
A square with a side of 4 ft needs to be cut into four shapes with the same area. can you find six different was to cut the square?
Robert Dawson lui répond.
Figure out the square root of something 2009-12-20
eric pose la question :
is there an ez equation to figure out the square root of something?
Harley Weston lui répond.
A concrete slab 2009-12-10
Mark pose la question :
there are 30 cubic yards of concrete, how many feet will it cover with a 4" slab?
Penny Nom lui répond.
(9 - x^2)/(x - 3) 2009-12-04
Sandy pose la question :
9-x^2/x-3
I need to know how to solve this.
Thanks

Penny Nom lui répond.
Rationals 2009-10-30
Jawsh pose la question :
I don't quite understand the whole idea of rationals. If you have 3Squareroot 49. Is that equal to 3Squareroot 7^2? Can you break it down with an example for me please.
Robert Dawson lui répond.
Forming a square 2009-10-21
christianah pose la question :
Two parallel lines have the equations y=x+4 and y=x-2.Two additional lines are drawn to form a square.What is the side length of the square?Write possible equations for the additional lines.Explain and justify your reasoning.
Penny Nom lui répond.
Completing the square 2009-10-02
christopher pose la question :
how do i find the factors of x^2+3x+2 by completing the square ?
Robert Dawson lui répond.
Grams per square meter 2009-09-30
MANISH pose la question :
how to calculate gsm given kg of 144 sheets and size in inches example 28" x 22" & 16.3 kgs = ?gsm (of 144 sheets)
Penny Nom lui répond.
Cubes and squares 2009-09-16
Stanley pose la question :
What is a three consecutive digit number like 5,6,7 , which is two less than a cube and two more than a square?
Robert Dawson lui répond.
The inverse of F(x)=x^2-6x+13, for x>3 2009-07-26
Juan pose la question :
The function F is given by F(x)=x^2-6x+13, for x>3.

A. Write F(x) in the form (x-a)^2+b

B.Find the inverse function F^-1

C.State the domain of F^-1

Penny Nom lui répond.
Inequalities Proof 2009-07-24
ABOU pose la question :
good morning.......a b c are real positive no zero......proof that sq root(2a/(a+b))+sq root(2b/(b+c))+sq root(2c/(c+a))inferior or equal 3 thank you
Janice Cotcher lui répond.
A degreaser for a fish tank 2009-07-23
charlie pose la question :
I have a tank that is 10 feet in diameter that I want to put floating degreaser in.The rate for the degreaser is 1/2 gallon per square foot of surface water.How do I figure out how many gallons I need?
Penny Nom lui répond.
Completing the square 2009-06-16
rebecca pose la question :
Find the roots of the equation by Completing the square. Express your answer in exact form and in decimal form to 2 decimal places.
a) x(squared)+10x+23
b)3y(squared)+12y+3

Stephen La Rocque lui répond.
Area and perimeter 2009-05-07
Kelly pose la question :
Why do objects w/ the same exterior linear feet have different interior sq ft? I.e. a 25x25 room has 625 sqft while a 20x30 room has only 600 sqft? I can visualize that by cutting and moving parts of the rectangle, you loose a 5x5 section, but I just can't get my head around why.
Robert Dawson and Stephen La Rocque lui répond.
-5^2= -25 2009-05-06
tracy pose la question :
show how to perform this calculation and why -5^2= -25
Robert Dawson lui répond.
Completing the square 2009-04-27
Daniel pose la question :
I tried following an example of yours but I still couldn't figure it out. Here is my question,

2x^2 - 6x + 1 = 0.

Any help would be greatly appreciated.

Stephen La Rocque lui répond.
How many rectangles are in a square prism? 2009-04-09
Lorenya pose la question :
How many rectangles are in a square prism?
Robert Dawson lui répond.
Pounds per square foot 2009-04-04
kevin pose la question :
Ineed to know the pds per sq ft of a machine that weighs 1,550 pds and measures 78.5 inches long x 32 inches wide.
Harley Weston lui répond.
Square prisms and pyramids 2009-04-03
Sheyna pose la question :
What are the differences between a square prism and a pyramid?
- Sheyna

Penny Nom lui répond.
Square feet and acres 2009-03-31
ROZELL pose la question :
how much land is 660'x400' also how many feet in one hundred acres
Harley Weston lui répond.
More on the square root of 0.75 2009-03-30
Blaine pose la question :
I read your response to How is the square root of 3/4 is greater than 3/4?

What I'm hoping for is a way for my students to use their own experience and number intuition to be able to make sense of the issue. As soon as my kids see "if y is this and x is this then..." their little eyes glaze over. Unfortunately, I can't come up with a way myself. Thank you for your help.
Penny Nom and stephen La Rocque lui répond.

Simplify the square root of 125 x^2 2009-02-27
Ashley pose la question :
√125x²

How do you simplify this equation assuming that variables can represent any real number?

Robert Dawson lui répond.
A goat in a square paddock 2009-02-10
lachlan pose la question :
A farmer uses a rope to tether a goat to a pole at the corner of a square paddock. The length of one side of the square is 24m.

a) If the length of the rope is 12m,what % of the paddock can the goat reach? is the answer 19.62 %?

b) If the farmer wants the goat to be able to graze exactly half the area of the paddock, what length must the rope be?

Penny Nom lui répond.
The units digit is 5 2009-02-02
Ray pose la question :
the number that when squared the units digit is 5
Penny Nom lui répond.
The resulting number is the square of an integer 2009-01-30
Randy pose la question :
A positive integer n is chosen. Then the product n ( n + 1 ) is computed and two digits are appended to the end of the product. The resulting number is the square of an integer.

Show that it is always possible to complete the process above or give a positive integer n for which the process cannot be completed.

Chris Fisher and Claude Tardif lui répond.
An octagonal carpet 2009-01-24
Larry pose la question :
I am cutting a piece of carpet that is 9 feet x 9 feet and need to cut it into an octagon. How far do I cut from the corner of the square. thank you for any help.
Harley Weston lui répond.
Factor x^2 - y^2 2009-01-20
Shell pose la question :
complete Factor: x^2-y^2
Penny Nom lui répond.
Square footage 2009-01-20
david pose la question :
15 3 5/8 x 18 7"
Penny Nom lui répond.
The square root of 164 2008-12-31
Melissa pose la question :
How do you simplify the square root of 164?
Stephen La Rocque lui répond.
Square yards of dirt cover 2008-12-08
Phillip pose la question :
How many square yards will 600 cubic yards of dirt cover, at a depth of 4 inches?
Harley Weston lui répond.
A circular plaque in a square box 2008-11-28
kmart pose la question :
A square box has a diagonal of length 640cm.It is to contain a circular wall plaque. What is the approximate diameter of the largest wall plaque that can be placed in the box?
Penny Nom lui répond.
Factor 9x^2 + 6x + 4 2008-11-21
Jonah pose la question :
how can i solve this by factoring: 9x^2 + 6x + 4
Harley Weston lui répond.
Four circles in a square 2008-11-19
Anthony pose la question :
I have a square where one side measures 10cm and within that square There are four equal quarter circles. Each quarter circles starts in a different corner of the square and I am trying to find area inside the overlap on the quarter circles.
Janice Cotcher, Chris Fisher and Penny Nom lui répond.
Factoring 2008-11-19
Neji pose la question :
How do you factor (y-z) (y+z) (y^4+y^2z^2+z^4) and get (y+z)(y^2-yz+z^2) (y-z) (y^2+yz+z^2) as the answer?
Harley Weston lui répond.
The cost of a steel plate 2008-11-05
Tammie pose la question :
What is the formula to calculate the following:

I have a plate of steel that is 1/4" x 48" x 192" at a price of $15.23 per square foot What is the formula to calculate the cost if I only use 1/4" x 47-1/4" x 68-1/8" of that steel plate?

Penny Nom lui répond.
The area of a square 2008-10-20
Danny pose la question :
Is it possible to use a circumference measurement to find the area of a square when all 4 corners have a 1.75" radius?
Harley Weston lui répond.
What is the square of 20? 2008-10-19
john pose la question :
what is the square of 20?
Penny Nom lui répond.
The area of a rug 2008-10-16
Natcha pose la question :
How can I convert the Carpet Roll Size to Square Meters. I have one Roll of carpet, (Quality is 2300 g/m2; 7 pitch/in, 9 rows/in; width: 2m) with dimension 0.5 m width and 4 m length. I needed to know that quantity of that Roll in Square Meters.
Penny Nom lui répond.
Solving an Equation with a Square Root 2008-10-05
Jonathan pose la question :
the square root of 3x+18 = x 3x+18 are within the square root
Victoria West lui répond.
z(z+1)-x(x+1) / z-x 2008-09-30
sylvia pose la question :
z(z+1)-x(x+1) / z-x

HOW DO I SIMPLIFY THIS

Penny Nom lui répond.
a(a+1) - b(b+1) 2008-09-30
Shaun pose la question :
I need to factor (a-b) out of the following: a(a+1) - b(b+1). I know it is simple but I cannot remember how.
Penny Nom lui répond.
The length of one side of a square 2008-09-28
Mela pose la question :
The area of a square is 841cm².
What is the length of one side of the square?
What is its perimeter?

Penny Nom lui répond.
144 square inches 2008-09-27
mike pose la question :
how much cm is in 144 square inches?
Penny Nom lui répond.
How many miles of track? 2008-08-27
Stephanie pose la question :
I have a 50 ac tract of Railroad I need to know approx how many miles of tr= ack would be included in 50 ac
Penny Nom lui répond.
The square root of a fraction 2008-08-24
Lauren pose la question :
How do you solve square roots of fractions? Does the format change if it is either a proper or an improper fraction?

Ex. the square root of 1/4 or the square roots of 80/25

Penny Nom lui répond.
Simplifying Algebraic Expressions 2008-08-22
Jacky pose la question :
x^2-y^2+4x+4y
Penny Nom lui répond.
A square with diagonal 200 metres 2008-08-20
kelvin pose la question :
find the are and perimeter of a square with diagonal of 200 meters?
Penny Nom lui répond.
Factoring x^2 + 729 2008-08-19
peter pose la question :
hello I,am having trouble factorising a polynomial into polynomial factors with real coefficients please can you help the polynomial is x^2+729
Harley Weston lui répond.
Is zero a perfect square? 2008-08-14
peter pose la question :
is zero a perfect square?
Penny Nom lui répond.
Square miles 2008-08-06
Koni pose la question :
I'm trying to figure out the distance our buses travel throughout our district to pick up students for school. How do you figure square miles?

If our district measures 6 1/2 miles wide and 2 3/4 miles deep, what is our total square miles?

Penny Nom lui répond.
Finding Angles in a Pyramid 2008-07-30
Carla pose la question :
A pyramid has its vertex directly above the centre of its square base. The edges of the base are each 8cm, and the vertical height is 10cm. Find the angle between the slant face and the base, and the angle between the slant edge and the base.
Janice Cotcher lui répond.
The length of a side of a square 2008-07-27
FRANK pose la question :
WHAT IS THE LENGTH OF ONE SIDE OF A SQUARE WITH A DIAGONAL OF LENGTH 2 TO THE HALF POWER
Stephen La Rocque lui répond.
A square is inscribed within a square 2008-07-19
Shirley pose la question :
A square is inscribed within a square that has a side the measures 16 centimeters. The vertices of the smaller square are located at the midpoints of the sides of the larger square. What is the area of the larger square, area of a smaller square, the probability that a point chosen at random is in the shaded are? Express the answer as a simplified fraction.
Penny Nom lui répond.
A four sided lot 2008-07-09
michelle pose la question :
the front is 65.29
left side 162.26
the back 155.00
right side 101.01

right angle=50.00
left angle= 153.30

Harley Weston lui répond.
What is the largest perfect square factor of 1512? 2008-07-02
peter pose la question :
What is the largest perfect square factor of 1512?
Penny Nom lui répond.
The square root of (18*n*34) 2008-07-01
Peter pose la question :
What is the least possible positive integer-value of n such that square root(18*n*34) is an integer?
Penny Nom lui répond.
Acres and square miles 2008-06-25
Jill pose la question :
how many miles are in 417 acres
Penny Nom lui répond.
A circle inscribed in a square acre 2008-06-19
Scott pose la question :
Q'm trying to find out the sq footage of the corners of an acre. If an acre is 43,560 sq and if I have this right the surface area of the circumference is 1040 ft. what is the combined square footage of the 4 corners? Or the percentage the original acre?
Harley Weston lui répond.
The length of a piece of fabric 2008-05-31
Jeanie pose la question :
How do I convert square yards to linear yards? I know the width of the fabric is 54" wide. I am at a loss of what the formula is to figure this out; please help! Thanks!
Penny Nom lui répond.
A triangle and a square 2008-05-24
s pose la question :
how to construct a triangle whose area is equal to the area of a given square?
Penny Nom lui répond.
An octagonal prism 2008-04-27
Melanie pose la question :
My son is identifying geometric shapes in the real world? We are stuck on octagonal prism, rectangular prism and square prism. Can you help me out with some examples. Thanks
Penny Nom lui répond.
The sum of the squares of the fibonacci numbers 2008-04-27
Thomas pose la question :
Hey I have a question for a research topic that our teacher set us, It is regarding the sum of the squares of the fibonacci numbers.

The question says describe the pattern that exists and write a general formula that describes the relationship illustrated above. I can see the pattern that is occurring but i cannot put this into a general formula. Any help would be appreciated. Thanks Tom

Victoria West lui répond.
How is the square root of 3/4 is greater than 3/4? 2008-04-22
Serena pose la question :
How is the square root of 3/4 is greater than 3/4?
Penny Nom lui répond.
Why can't a square be twice another square? 2008-04-20
kim pose la question :
why can't a square number double another one
Penny Nom lui répond.
WHY 144 where does this figure come from 2008-04-19
Sean pose la question :
Why do you use the number 144 to divide

EG. length of timber 2 inches x 8 inches x 14 foot = 1.5 cubic feet

Calculation is 2x8x14 =224 divide by 144 = 1.5 WHY 144 where does this figure come from

Leeanne Boehm lui répond.
A rectangle word problem 2008-04-10
Nick pose la question :
A rectangle is twice as long as it is wide. If the length and width are both increased by 5cm, the resulting rectangle has an area of 50cm^2. Find the dimensions of the original.
Penny Nom lui répond.
Complete the square 2008-04-09
jessica pose la question :
can you check my answer please thanks

f(x)=2x^2-4x+5

I got 2(x+2)^2-3 for when it asked to simplfy it to standard form of a quadratic equation

Stephen La Rocque lui répond.
Complete the square 2008-04-09
jessica pose la question :
Use the technique of completing the square to put f(x)= 2x^2-4x+5 in the form f F(x)= a(x-h)^2+k were h,k=vertex of the parabola. identify the coordinate (h,k)of the maximum or minimum point of the associated parabola
Penny Nom lui répond.
A square garden of tulips 2008-04-08
Vincent pose la question :
Each year Brandon plants tulip bulbs in a square flower bed. This year Brandon's flower bed has 29 more bulbs than it had last year. If the flower bed is still square how many tulip bulbs are in it this year?
Penny Nom lui répond.
100 yards of cloth 2008-04-04
Leroy pose la question :
(100 yards of cloth 48 inches = how many square yards)
Penny Nom lui répond.
The square root of 21 between what two numbers? 2008-04-03
Danielle pose la question :
The square root of 21 between what two numbers?
Penny Nom lui répond.
Ounces and grams 2008-04-02
Rakesh pose la question :
7.2 oz per sq. yard equals ? __ grams per sq. meter

How I can measure the weight of a Jeans fabric (in oz)? And what is the rellation between grams and oz?

Penny Nom lui répond.
Square feet and square yards 2008-04-01
Victor pose la question :
6200 sq. ft.into yards
Penny Nom lui répond.
Cost per square metre 2008-03-31
sandy pose la question :
if something measures 7m x 3.6m with a depth of 1 - 1.5m and the total cost is 52 500.00, what is the cost per square metre
Penny Nom lui répond.
The length of a side of a square 2008-03-12
laura pose la question :
if i had a square of 2.3 square meters what would its radius be?(in centimeters please)
Penny Nom lui répond.
A circle and a square 2008-03-12
mae pose la question :
what are the formulas on getting the area of the square outside an inscribed circular region?
Penny Nom lui répond.
Completing the square 2008-03-11
Ryan pose la question :
solve for x by completing the squares, x^2+4x-8=0
Stephen La Rocque lui répond.
Is every rectangle a square? 2008-03-04
Odette pose la question :
if every square is a rectangle, is every rectangle aslo a square?
Penny Nom lui répond.
Is a square a rectangle? 2008-02-29
Jaime pose la question :
Is a square a rectangle?
Penny Nom lui répond.
A new carpet 2008-02-28
Rhiannon pose la question :
The Gatlins are buying a new carpet for their house. They need about 1,175 square feet of carpet. The carpet they buy is sold by the square yard. Estimate the number of square yards of carpet they need. Do I use the formula to find the volume or are?
Penny Nom lui répond.
10 squares drawn one inside another 2008-02-25
Rajesh pose la question :
There are 10 squares drawn one inside another.The diagonal of the inneremost square is 20 units. if the distance b/w the corresponding corners of any two successive squares is 1 unit, find the diffrence between the areas of the eigth and seventh square counting from the innermost
Stephen La Rocque lui répond.
5x^2 - 45 2008-02-11
Tiana pose la question :
factor: 5x^2 - 45
Stephen La Rocque lui répond.
A square and an equilateral triangle 2008-02-10
Emily pose la question :
A square pen and a pen shaped like an equilateral triangle have equal perimeters. Find the length of the sides of each pen if the sides of the triangular pen are fifteen less than twice a side of the square pen.
Stephen La Rocque lui répond.
Cost per square yard 2008-02-05
Terry pose la question :
MY cost for seed is $325.00 per acre...i want to bring that down to $ per sqyard. Whats the formula?
Penny Nom lui répond.
Determine the number of square inches for one piece of pie 2008-01-31
Annie pose la question :
Ok i'm so lost it ain't even funny! HELP! Here's the question: A pie has a radius of 7 inches and can be divided into 8 equal pieces. Determine the number of square inches for one piece of pie. Explain your answer.
Penny Nom lui répond.
The acre measurement of a property 2008-01-30
Kim pose la question :
I would like to know the acre measurement of a property that is 673.68 feet by 820.76 feet.
Penny Nom lui répond.
Inscribed square in a triangle 2008-01-27
Adrian pose la question :
Consider a right-angled triangle PQR, where QR is the base and PQ is the height. QR=4cm and PQ=3cm. A square is inscribed in this triangle.Determine the length of one side of the square.
Stephen La Rocque lui répond.
0.18 of an acre 2008-01-09
susan pose la question :
what is the square footage of .18 of an acre of land?
Penny Nom lui répond.
The area of a piece of property 2008-01-05
Greg pose la question :
I need to know the area of a six sided piece of property. I sent a map by regular mail.
Harley Weston lui répond.
Simplifying square roots 2007-12-19
Ciara pose la question :
How would you calculate 2 to the square root of 8 plus 4 to the square root of 2 minus 5 to the square root of 2?
Stephen La Rocque lui répond.
For how many positive integers n is n^2 + 96 is a perfect square? 2007-12-18
Rajesh pose la question :
For how many positive integers n is n^2 + 96 is a perfect square ?
Penny Nom lui répond.
Finding all the angles 2007-12-13
Rajesh pose la question :
An eqilateral triangle is drawn in a square with one of the side as its base and draw the lines from the other angular sides such that there are four triangles formed inside the square which includes the equilateral triangle.I want to know all the angles of all the triangles formed inside the square.
Stephen La Rocque and Penny Nom lui répond.
Square yards 2007-11-30
Chad pose la question :
I need to convert 4,599 Cubic Yards to Square yards. The thickness is 10 inches. Is there a formula for this conversion. Thanks,
Penny Nom lui répond.
The square footage of a property 2007-11-30
Warren pose la question :
The west property line is 240' long with a 90-degree angle to the south property line.
The south property line is 493' long with a 90-degree angle to the east property line.
The east boundary is 165' long.
The length of the north property line is not known but it is a straight line from the north end of the east property line to the north end of the west property line.

Could you please tell me the total square feet and how many acres?
And how you calculated the answer

Penny Nom lui répond.
More on completing the square 2007-11-29
June pose la question :
x^2 - 6x = 16 I found you already had this question but the answer you gave did not help me to explain how to answer the problem for my daughter. I do not understand how to complete the square for this paticular question and the example you showed did not help. I would appreciate any further help you could give me.
Penny Nom lui répond.
A square near 522 2007-11-28
ali pose la question :
What a way to know the smallest number could blow number 522 to become fully square
Penny Nom lui répond.
Completing the square 2007-11-26
Julie pose la question :
x^2 - 6x = 16 Please, Help I am stuck on this math problem. I need to solve by completing the square. I need the steps of solving the problem and the answer, Please.
Penny Nom lui répond.
A 4 by 4 magic square 2007-11-21
sue pose la question :
This is for my 10 year old nephew. His math question is: he has a 4X 4 magic square. The top squares are from left to right: 359,356,353,366. He says that columns are supposed to equal 796. We can't figure it out and would really appreciate any help we could get.
Penny Nom lui répond.
Expand (a^4 - b^4) 2007-11-17
Saif pose la question :
how would you expand (a^4 - b^4) ???
Stephen La Rocque and Victoria West lui répond.
Completing the square 2007-11-01
Mark pose la question :
An architect is designing a museum entranceway in the shape of a parabolic arch represented by the equation y = -x2 + 20x, where 0 x 20 and all dimensions are expressed in feet. Determine the maximum height, in feet, of the arch.
Stephen La Rocque lui répond.
A circle is inscribed in a square 2007-10-28
Carolyn pose la question :
A circle is inscribed in a square. What percentage of the are of the square is inside the circle.
Victoria West lui répond.
Given a six by six square, how rectangles are there in the square? 2007-10-24
Maria pose la question :
Given a six by six square, how rectangles are there in the square?
Stephen La Rocque lui répond.
A Farmer's pasture 2007-10-19
Jennifer pose la question :
A Farmer's pasture measures 100 feet by 108 feet. Each cow needs 4 square yards of pasture to have enough grass.
How many Cows should the farmer put in this pasture?
If he builds a fence around the pasture 5 feet inside the edge, how much fencing would he need?
Does this change the number of cows that can be kept in the pasture? If so, why ?

Penny Nom lui répond.
How many square inches are there in 97 acres? 2007-10-18
Glenda pose la question :
How many square inches are there in 97 acres?
Penny Nom lui répond.
A triangular lot 2007-10-17
Brian pose la question :
Seeking the square footage of a triangular property lot, dimensions are: 620 X 620X 720.
Penny Nom and Melanie Tyrer lui répond.
Four triangles in a square 2007-10-15
Kristina pose la question :
A square with side lengths of 6 cm is divided into 3 right triangles and a larger isosceles triangle. If the three right triangles have equal area, find the exact area of the isosceles triangle.
Stephen La Rocque lui répond.
How many sq yards did i use? 2007-10-03
Rose pose la question :
i used 12 x 19 of carpet. how many sq yards did i use? What is the formula for this?
Victoria West lui répond.
Cubic meters, square feet and office space 2007-09-25
Kathryn pose la question :
Can someone please help and let me know how do you convert 11 cubic meters into square footage?
Steve La Rocque and Harley Weston lui répond.
The diagonal of a square 2007-09-23
Nasreen pose la question :
A(7,2) and C(1,4) are two vertices of a square ABCD find in the form ax+by=c the equation of the diagonal BD
Stephen La Rocque lui répond.
A 5 by 5 checkerboard 2007-09-17
Darren pose la question :
Hi, I'm Darren and i have some questions to ask you about this problem: In a 5 by 5 checkerboard : how many 2 by 2 squares are there, what other sizes of squares do you need to count and how many of of each size of squares can you find; how many squares did you find in all
Victoria West lui répond.
1-4/square root 3 2007-09-12
Prudence pose la question :
How to solve this question?
1 - 4/√3

Penny Nom lui répond.
Yards by yards to square metres 2007-09-10
Julie pose la question :
I need a formula to translate linear yards so 36" by 54" to square meters. So first I need to square the yard and translate it to square meters.
Stephen La Rocque and Penny Nom lui répond.
Does every number have a square root? 2007-09-10
Cheryl pose la question :
Does every number have a square root?
Harley Weston lui répond.
Is there a way I can calculate correct square footage for odd shapes? 2007-08-31
Tom pose la question :
I manage a golf course, and we are about to over seed the course for the upcoming winter months. We will be over seeding all greens, fairways, and tee boxes. Noone of the area that we will be placing seed on is a regular shape. The closest shapes they would be is a circle, rectangle or square, but most of them are all odd CURVED shapes. I know what the equation is for Square ft., and I know how many Square ft. are in an acre, but I need to be precise with the amount of seed I order. Is there a way I can calculate correct square footage for odd shapes.
Harley Weston lui répond.
Simplify (square root of)200 2007-08-28
melissa pose la question :
how do you simplify: (square root of)200
Penny Nom lui répond.
32,648 square footage = how much land? 2007-08-22
Elizabeth pose la question :
1. What amount of Land = an acre?
2. 32,648 square footage = how much land?

Penny Nom lui répond.
A square problem 2007-08-19
Amanda pose la question :
Consider a square with side s, diagonal d, area A and perimeter P.

a) express the diagonal in terms of the side.
b) express the area in terms of the diagonal.

Stephen La Rocque lui répond.
The area of a five sided lot 2007-08-19
Karyn pose la question :
I have been looking at your site, but I am still confused as to how to figure out the exact square footage of my irregular lot (since it is a gradual fan lot from the front, and triangles out in the back).
Harley Weston lui répond.
Two squares 2007-08-18
Jerry pose la question :
The vertex E of a square EFGH is inside a square ABCD. The vertices F, G and H are outside the square ABCD. The side EF meets the side CD at X and the side EH meets the side AD at Y. If EX = EY, prove that E lies on BD.
Chris Fisher lui répond.
An octagon from a square 2007-08-15
Dian pose la question :
Okay, here is my problem. I have a 21" square and want to make it into an octagon. I am 61 and mathematically challenged. What I need to know is how many inches to each angle? I want this to be accurate as I am using it for a pattern.
Penny Nom lui répond.
How many square feet are in 1.24 acres? 2007-08-15
Karen pose la question :
how many square feet are in 1.24 acres
Penny Nom lui répond.
The area and perimeter of a rectangle 2007-08-15
Brooklyn pose la question :
Is there a way to find the perimeter of a rectangle if you have the area, or vice versa? If so, what is the equation?
Leeanne Boehm and Penny Nom lui répond.
How many square meters are there? 2007-08-13
jane pose la question :
if a room is 4meters by 5meters,how many square meters are there?
Penny Nom lui répond.
Find all numbers which are both squares and cubes 2007-07-30
Arul pose la question :
what is the easiest way to find the number which is both a square and a cube? the numbers i know are 64 and 729 which is both a sqr and a cube. i took long time to solve this.. is there any easier way?
Steve La Rocque lui répond.
Cubic metres of topsoil 2007-07-25
Laurie pose la question :
How do I convert cubic meters to square meters?
Harley Weston lui répond.
Simplifying an algebraic fraction expression 2007-07-25
Jessica pose la question :
How do I simplify b/(b2-25) + 5/(b+5) - 6/b?
Stephen La Rocque lui répond.
The area of a property 2007-07-17
Mary pose la question :
I currently have an opportunity to sell my property to a business and they would like me to send a proposal to them with details. I need to know the square footage of my property and have tried using your formula from similar questions. The dimensions of my property are as follows
front line facing street: 19.908 m
right side : 37.338 m
back line : 29.779 m
left side : 43.983m
The front line and the right side are at right angles to each other. Can you formulate and reply? Thank you Mary

Harley Weston lui répond.
Divide a square into seven pieces 2007-07-17
suzette pose la question :
how can you divide a square into 7 equal sizes and shapes?
Penny Nom lui répond.
A square and an equilateral triangle have the same perimeter. 2007-07-02
eve pose la question :
I am trying to help my daughter with the following problem: A square and an equilateral triangle have the same perimeter. The sum of one side of the square and one side of the triangle equals 28 cm. Find the sides of the figures.
Penny Nom lui répond.
Using Heron's Formula to help maximize the area of a triangle 2007-06-27
Claire pose la question :
Given one side of a triangle is 4 cm and the ratio 1:3 for the other 2 sides. What is the largest area of the triangle?
Stephen La Rocque and Harley Weston lui répond.
The sum of angles in a square is three hundred and sixty degrees 2007-06-21
victor pose la question :
can you please send to me a formalize proof for the assertion that, the sum of angles in a square is three hundred and sixty degrees. i will be grateful to hear from you
Stephen La Rocque lui répond.
Simplifying complex denominators 2007-06-21
Krys pose la question :
How do I simplify completely? ((4+i ) / (3+i )) - ((2-i ) / (5-i ))
Stephen La Rocque lui répond.
Finding the center of an ellipse 2007-06-20
Sima pose la question :
find the center of the ellipse with the equation 3x^2 +4y^2+18x-32y-5=0
Penny Nom lui répond.
How many acres is 1.8 sq miles? 2007-06-19
Jordanne pose la question :
How many acres is 1.8sq miles?
Penny Nom lui répond.
A square and a rectangle 2007-06-19
Clarence pose la question :
What is the difference between rectangle and a square
Penny Nom lui répond.
A circle inside a square 2007-05-31
Mer pose la question :
there is a circle inside a square... there is a shaded rectangle that measures 5mm X 10mm and they want to know what the radius is. The edge of the shaded rectangle touches a point on the circle.
Penny Nom lui répond.
Cubic inches and square feet 2007-05-31
keith pose la question :
is it possible to convert cubic inches to square feet.thanx
Stephen La Rocque lui répond.
A bag of concrete 2007-05-29
rick pose la question :
I have a bag of concrete that will cover .525 cubic feet of space. How many square feet will the same bag cover?
Penny Nom lui répond.
Is a square also a right trapezoid? 2007-05-24
Don pose la question :
Is a square also a right trapezoid?
Stephen La Rocque lui répond.
Simplifying a square root 2007-05-24
Leigh pose la question :
I am trying to help my son. Simplify sq root 81 x to the 2nd power y to the 12th power.
Stephen La Rocque lui répond.
Finding square roots 2007-05-17
Chandler pose la question :
I would like an easy way to find the square root of a number.
Gabriel Potter lui répond.
Counting squares 2007-05-12
Bridget pose la question :
Explain how many squares there are on a board measuring 4 by 4 units,
Stephen La Rocque and Penny Nom lui répond.
Area of a pentagonal lot 2007-05-09
Mimi pose la question :
I would like to know the square footage of a pentagon with the following measurements: Property is .43 of an Acre Front: 57.11' NW: 105.78' S: 120' SE: 145' E: 102.86' I don't want you to try to show me how to work thru the problem since I will never comprehend it. For some reason, I am unable to perform these kinds of equations. I will greatly appreciate your help.
Penny Nom lui répond.
A problem involving squarefree integers 2007-05-07
Andrew pose la question :
I was told that if x > y (integers); then x would never exactly = divide y^n (n integer > 1) if (x,y) =3D 1 ; or if x is "square = free". Is the latter true and why?
Stephen La Rocque and Penny Nom lui répond.
What is the square root of 729 to the third power? 2007-04-25
Tori pose la question :
What is the square root of 729 to the third power?
Penny Nom lui répond.
Using the "difference of squares" formula how do I compute 27 * 33? 2007-04-02
Sarah pose la question :
Using the "difference of squares" formula how do I compute 27 * 33?
Penny Nom lui répond.
5 square metres 2007-03-28
Allan pose la question :
please confirm if an area of 5 square metres is different from 5m^2 (5metres squared)
Penny Nom lui répond.
Inscribed square in inscribed circle 2007-03-25
Confuzzled pose la question :
"The largest possible circle is drawn inside a square. Then the largest possible square is drawn inside this circle. What is the area of the inner square as a fraction of the area of the outer square?"
This is a question from the Grade 8 Gauss contest and I don't know how to work it out without drawing it. My teacher says it's possible but I still don't get it. Please help!!!

Stephen La Rocque lui répond.
What will our square footage size be after appropriation? 2007-03-17
Melissa pose la question :
I have a rectangular lot of 110.0 feet by 396.0 feet. When we sell the District will take 2.38 meters off the front for appropriation. I believe we currently have a 1 acre lot? What will our sqaure footage size be after appropriation? Thanks, Melissa
Penny Nom lui répond.
The square of an odd number 2007-03-16
Samantha pose la question :
Is the square of an odd number always odd?
Stephen La Rocque and Penny Nom lui répond.
Square metres, cubic metres and timber 2007-03-15
remy pose la question :
our timber is in square meter , our supplier is using cubic meter, how do I convert from cubic meter to square meter. Many thanks remy
Harley Weston lui répond.
A square 2007-03-02
Jake pose la question :
how many sides does a square have?
Sara Ulmer lui répond.
Factoring polynomials 2007-02-14
Joe pose la question :
I am in the eighth grade, and we are learning the equivalent of Algebra 2. I have no ides how to factor (x-2)(x^2-1)-6x-6 You help is most aprreciated. Thank you! Joe
Stephen La Rocque lui répond.
Cost per square foot 2007-02-14
llinden pose la question :
how do you figure out the cost of square footage? the amount per sq ft is $28 Thank you
Gabriel Potter lui répond.
Square centimeters 2007-02-12
Ivan pose la question :
how many square centimeters are in a rectangle that is 210 centimeters long by 39 centimeters wide.? thank you
Karen McIver and Melanie Tyrer lui répond.
Rectangles and squares 2007-01-31
Shelby pose la question :
I am doing homework and I need to know why squares are rectangles but not all rectangles are squares?
Penny Nom lui répond.
Square meters and cubic meters 2007-01-30
Fiel pose la question :
How do i convert square meter to cubic meter?
Penny Nom lui répond.
converting square miles into square meters 2007-01-27
Susan pose la question :
how do you convert square miles into square meters
Stephen La Rocque lui répond.
Can you make a square out of a right triangle by using only one straight line? 2007-01-26
Debra pose la question :
Can you make a square out of a right triangle by using only one straight line?
Stephen La Rocque and Penny Nom lui répond.
A lumber yard receives 24 studs in a bundle 2007-01-23
Roxanne pose la question :
A lumber yard receives 24 studs in a bundle that contains 25 row (or layers) of studs with 20 studs in each row. A 2X4 stus ia actually 1 1/2'' X 3 1/2'' X 92 5/8 Find the cross sectional area of a bindle in square inches Find the volume of the bundle in cubic feet
Stephen La Rocque lui répond.
The square footage of a lot 2007-01-22
A parent pose la question :
I HAVE A LOT THAT IS 50FT. BY 95.5 FEET HOW MANY SQ.FEET.
Penny Nom lui répond.
A statistics question 2007-01-07
Rick pose la question :
For many years TV executives used the guideline that 30 percent of the audience were watching each of the prime-time networks and 10 percent were watching cable stations on a weekday night. A random sample of 500 viewers in the Tampa-St Petersburg, Florida, area last Monday night showed that 165 homes were tuned in to the ABC affiliate, 140 to the CBS affiliate, 125 to the NBC affiliate, and the remainder were viewing a cable station. At the 0.05 significance level, can we conclude that the guideline is still reasonable?
Penny Nom lui répond.
5sqrt2+3 2007-01-07
Mike pose la question :
I don't understand why 5sqrt2+3 is the correct answer over 5sqrt 5
Penny Nom lui répond.
An octagon inscribed in a square 2006-12-29
Richard pose la question :
An octagon is inscribed in a square so that the vertices of the octagon trisect the sides of the square. The perimeter of the square is 108 centimeters. What is the number of square centimeters in the area of the octagon?
Walter Whiteley lui répond.
Prove that square root of 3 is irrational. 2006-12-21
Humera pose la question :
Prove that square root of 3 is irrational.
Stephen La Rocque lui répond.
Miles, square feet and acres 2006-12-18
Emily pose la question :
How do you convert miles to square feet? I have to convert 2.86 miles to square feet and then convert 72.5 acres to square feet and add them together. I looked on your website and what does the word hence mean?
Penny Nom lui répond.
How many squares are there on a checkerboard 2006-12-17
Tania pose la question :
how many squares are there altogether on the checkerboard (including the 64 small squares)?
Penny Nom lui répond.
Factoring m^4-9^n 2006-12-07
Josh pose la question :
I can not figure out how to completely factor m^4-9^n.
Penny Nom lui répond.
The square footage of an irregular lot 2006-12-07
Lori pose la question :
If I have a rectangular irregular sized lot with the following:

A - 110.53'
B - 159.87'
C - 127.28'
D - 165.86'


How do I determine the square footage?

Penny Nom lui répond.
1X2X3X4+1=5^5 2006-11-23
Liza pose la question :
1X2X3X4+1=5 square
2x3x4x5+1=11 square
What is the rule for this?

Stephen La Rocque and Penny Nom lui répond.
The square footage of 1.29 acres 2006-11-20
Steve pose la question :
What is the approx. square footage of 1.29 acres?
Penny Nom lui répond.
The rate of change of the perimeter of a square 2006-11-07
Karli pose la question :
Find the rate of change of the perimeter of a square with respect to its area.
Stephen La Rocque lui répond.
What's 3x squared? 2006-11-02
Cath pose la question :
What's 3x squared?
Penny Nom lui répond.
I have a 3000 sq ft house ... 2006-10-10
Ann pose la question :
I have a 3000 sq ft house and need to use flea foggers. Each fogger treats 6000 cubic feet. How many do I need?
Stephen La Rocque lui répond.
Squaring numbers 2006-10-08
Timothy pose la question :
did anyone ever try to teach that the easiest way to find the next square in a group of numbers is to add the next odd number in the sequence. for example: 1 squared is 1, 2 squared is 4,difference of 3.the next odd number is 5 so the next square would be 4 +5 or 9
Paul Betts and Penny Nom lui répond.
A 5x2 rectangle 2006-10-03
Stanley pose la question :
Cut a 5x2 rectangle into 4 pieces, and then put them back into as a square.
Claude Tardif and Penny Nom lui répond.
Two word problems 2006-10-02
Eve pose la question :

1. A surveyor's map shows a plan for the rectangular rose garden whose area is
a2+25ab-350b2. Find an algebraic expression for the length and width. If a=20 ft and b=10 feet, find the actual dimensions of the garden.

2.A square is enclosed in a circle. The area of the square is (4r2-32r+64)sq cm and the area of the circle is 484r2 sq cm. Write a polynomial in factored form to represent the difference of the two areas.


Stephen La Rocque lui répond.
How do you convert square inches to square yards 2006-09-28
A student pose la question :
how do you convert square inches to square yards
Stephen La Rocque and Penny Nom lui répond.
Help me prove that the square root of 6 is irrational 2006-09-23
Sylvia pose la question :
Could you please help me prove that the square root of 6 is irrational ?
Stephen La Rocque lui répond.
Sqyare yards and cubic yards 2006-09-21
Kevin pose la question :
I WOULD LIKE TO KNOW HOW TO CONVERT SQUARE YARDS INTO CUBIC YARDS OF MATERAIL (DIRT)
Penny Nom lui répond.
The square footage of my property 2006-09-17
Jack pose la question :
I have been trying to calculate the square footage of my property, without success. The measurements are below. Is there a simple formula that can be used based upon the outside parameters? Or, is there a simple way to calculate the square footage?
Stephen La Rocque and Penny Nom lui répond.
A square palindrome 2006-09-11
Liz pose la question :
What is the least three-digit palindrome that is a square number?
Stephen La Rocque lui répond.
What is the length of one side of 10 sq acre 2006-08-30
Rick pose la question :
what is the length of one side of 10 sq acre
Penny Nom lui répond.
Converting sq ft to sq meters 2006-08-03
JB pose la question :
I would like to convert 2700 square feet into square meters.
Penny Nom lui répond.
The lot is a very odd shape 2006-07-20
Liz pose la question :
I have a square footage question. I'm looking at buying a piece of land and would like to know how to calculate the square footage of it. The lot is a very odd shape and I have attached a drawing of the lot:
Stephen La Rocque lui répond.
Finding square footage from lengths in inches 2006-07-14
Ann pose la question :
How do I find out the square footage of a window 45" by 22" and 43" by 35.5"?
Stephen La Rocque lui répond.
Convert 13ft by 10ft room area into square feet 2006-06-18
Marlene pose la question :
want to convert 13ft by 10ft room area into square feet
Penny Nom lui répond.
Square feet and linear feet 2006-06-10
Richard pose la question :
Need to know how many linear ft are in 2800 sq.ft
Penny Nom lui répond.
Buying some carpet 2006-06-05
Russ pose la question :
My room is 24 ft. long and 17 ft. wide. I need to know how many square feet are in 1 yd.²
Penny Nom lui répond.
Square feet and acres 2006-05-19
Lisa pose la question :
1.12 acre= ???? sq ft
1.043 acre= ???? sq ft

I work in the loan department and I do appraisal reviews but I use square feet to determine my values.

Penny Nom lui répond.
The square root of 4 2006-05-07
MaryBeth pose la question :
I am a high school teacher of Algebra. I was recently teaching square roots to my students and an interesting question arose. Our textbook seems to be inconsistent. I was hoping you might be able to give our department your opinion on who is correct as we are divided on the correct way to teach this. When you take the square root of a number, you get two answers, a positive root and a negative root, correct? Our book presents this as √4 = 2 and -√4 = -2 and ±√4 = ±2. Shouldn't it be taught as there are always two roots, the positive and the negative? It seems to me, there is really no reason to have to use the ± as there are always 2 roots, the positive and the negative. But if the negative sign is given then only the negative answer should be given? What's your take?
Penny Nom lui répond.
A hallway in an old house 2006-05-06
Sabrina pose la question :
I am trying to determine how many square feet is in a room that is not square or rectangular. It has basically 5 walls of different lengths, it is acutely considered a hallway in an old house, how can I figure out the footage, the Length times Width requires to much wasted materials
Penny Nom lui répond.
5 square miles or a 5-mile square? 2006-05-03
Rosemary pose la question :
I am an interpreter in our Historical Museum. From what I received, I have always told my guests that when the Connecticut Land Company sold the Western Reserve land, 5 square miles constituted a township. I was corrected yesterday by someone who said it should have been a 5-mile square. What is the difference? Hope you can help.
Penny Nom lui répond.
If the perimeter of a square is 1 foot, what is its area? 2006-04-27
Larry pose la question :
If the perimeter of a square is 1 foot, its area is how many square inches?
Stephen La Rocque lui répond.
Which has more pizza? 2006-04-19
Kristine pose la question :
Which has more area: a round pizza that is 16 inches in diameter or three square pieces of pizza that are 8.5 inches on each side?
Stephen La Rocque lui répond.
Perimeter of a triangle atop a square 2006-04-13
Mary pose la question :
There is an (irregular) pentagon that is made up of a square and a triangle. The triangle is directly on top of the square. The triangle is a right triangle. One of the angles is 45 degrees. One of the sides of the triangle is 4. What is the perimeter of the pentagon?
Penny Nom lui répond.
Finding square roots 2006-04-12
Fehmida pose la question :
I would like to know about tricks or formulas to do complicated square roots. ex. square root of 1029
Penny Nom and Steve La Rocque lui répond.
A square in a circle 2006-04-05
Lisa pose la question :
A square is inscribed in a circle. Determine the percent of the circle's area that is outside the square.
Stephen La Rocque lui répond.
Acres 2006-03-25
Judy pose la question :
How do you turn land measurements into acres
Such as piece of property is 45 x 167

Penny Nom lui répond.
Two squares 2006-03-25
Debbie pose la question :
A small square is constructed. Then a new square is made by increasing each side by 2 meters. The perimeter of the new square is 3 meters shorter than 5 times the length of one side of the original square. Find the dimension of the original square
Stephen La Rocque lui répond.
The square footage of an area in my backyard 2006-03-17
Kim pose la question :
I need to find out how to calculate the square footage of an area in my backyard that is in the shape of a "slice of pie". There are two sides that are straight lines that come together at the top to form a point, and then at the bottom is a curved line that joins the two other lines together. I need to figure out how to calculate the square footage that is inside the area.
Penny Nom lui répond.
Adding a cellar 2006-03-14
Spencer pose la question :

You want to add a cellar to your store. The construction company told you it would cost $5.90 per cubic yard to dig the cellar plus $20.00 per square ft. to finish it.

How much will it cost to add a cellar 36 feet long, 14 feet wide, and 8 feet deep?


Stephen La Rocque lui répond.
Square roots 2006-03-07
Diana pose la question :
Find each square root
Harley Weston lui répond.
the size of a lot is 300 sqm, what is the square feet conversion? 2006-02-11
JC pose la question :
the size of a lot is 300 sqm, what is the square feet conversion?
Penny Nom lui répond.
How do I calculate feet and inches to sq ft? 2006-01-09
Rebecca pose la question :
How do I calculate feet and inches to sq ft?
Penny Nom lui répond.
40 acres= how many square meters? 2006-01-07
Janelle pose la question :
40 acres= how many meters?
Penny Nom lui répond.
2800 sq meters 2005-12-27
Roger pose la question :
I am going to buy some land and its 2800 sq meters. Is it a acre?
Penny lui répond.
Find the nth term 2005-12-14
Kevin pose la question :
How do i find the nth term of 1 4 9 16 25 36
Penny Nom lui répond.
The perimeter of a collection of squares 2005-12-11
Catherine pose la question :
using 12 squares, make a number of patterns (squares joined). Find the perimeters. Find out how many points in the shape have four radiating lines i.e. are two lines intersecting. Write an equation to state the relationship between the lines and the perimeter.
Penny Nom lui répond.
A one acre square 2005-12-01
David pose la question :
I know there are 43,560 square feet in 1 acre of land.

If that acre were completely square what would be the perimeter of the square.

I am trying to construct a 1 acre pen for livestock.


penny Nom lui répond.
Tables with perfect squares 2005-11-30
Craig pose la question :
A table consists of eleven columns. Reading across the first row of the table we find the numbers 1991, 1992, 1993,..., 2000, 2001. In the other rows, each entry in the table is 13 greater than the entry above it, and the table continues indefinitely. If a vertical column is chosen at random, then the probability of that column containing a perfect square is:
Claude Tardif lui répond.
The square root of i 2005-11-30
Kevin pose la question :

If the square root of -1 is i, what is the square root of i?

How can you find the log of a negative number?

What is the log of -1?


Claude Tardif lui répond.
A block pyramid 2005-11-05
Kyle pose la question :
if i make a block pyramid and it puts a new perimeter around it every time, for example the first layer will be 1 block across (area=1), the second layer will be 3 blocks across (area=9), the third layer will be 5 blocks across (area=15),etc. The normal block pyramid. I have figured out that in order to figure out the number of blocks needed for a certain level, the equation is (2x-1)2 or (2x-1)(2x-1), where x is equal to the level. For example, on the fourth level, the equation tells you that it will have an area of 49. How would i make an equation for the total number of blocks up to the level. For example, in order to complete 1 level you need 1 block, for 2 levels you need 10 blocks, for three levels you need 35 blocks, and for 4 levels you need 84 blocks.
Penny Nom lui répond.
7000 sq feet = ? acres ??? 2005-11-05
Victor pose la question :
7000 sq feet = ? acres ???
Penny Nom lui répond.
An odd number of factors 2005-10-06
Ramneek pose la question :
What is the common name used for numbers that have an odd number of factors?
Claude Tardif lui répond.
One square mile 2005-09-11
Rudy pose la question :
I know that there are 27,878,400 sq ft in a square mile and that there are 640 acres in a sq mile. But how do I figure out the measurement of each acre. If I could make every acre a square what would it's measurement be?
Penny Nom lui répond.
A typical farm 2005-09-01
Pagedi pose la question :
A typical farm is about 700 acres. How many square miles is this? Please show me the work so, that I will know I to perform this problem myself.
Penny Nom lui répond.
1,4,9,1,6,2,5,3,6,4,9,6,4,8,1 2005-08-30
Liz pose la question :
Find the next four numbers to the sequence 1,4,9,1,6,2,5,3,6,4,9,6,4,8,1,___,___,___,___.
Penny Nom lui répond.
The length of a lot 2005-08-28
Billy pose la question :
If I have 3 acres and the front is 300 ft across how many feet would I go down the sides to equal 3 acres?
Penny Nom lui répond.
A perfect square that is equal to 1 acre 2005-07-31
Shannon pose la question :
If you have a perfect square that is equal to 1 acre, what is the length of the sides and how do you do it?
Penny Nom lui répond.
How many tiles do I need? 2005-07-20
Jeannette pose la question :
I am putting up backsplash tile in my kitchen and I need to know how many tiles I would need to use for about 45 square feet using 4x4 tiles.
Penny Nom lui répond.
The size of a lot 2005-06-09
Bob pose la question :
Is it possible to determine the square footage and acreage of a residential lot that's straight on 3 sides, and triangular on the 4th side?

As shown in the crude sketch below, the two legs of the triangle at the back end of the lot are 61' and 62'.

Penny lui répond.
Square feet and cubic feet 2005-05-30
Kim pose la question :
Is there a relationship between square feet and cubic feet?
Penny Nom lui répond.
A triangular lot 2005-05-21
Linda pose la question :
I am looking to purchase a piece of property, and I need some help trying to figure out the square footage of the land. I know that normally if I multiply the length and width I could get my answer. However, this piece of land is an odd shape and has 3 measurements. Can you please help me.
The measurements for this piece of land is:

97.8'
201.2'
139.7'

Penny Nom lui répond.
Explain why 3(x+2) = 3x+2 is incorrect 2005-03-28
Cynthia pose la question :
An algebra student incorrectly used the distributive property and wrote 3(x+2) = 3x+2. How would you explain to him the correct result, without the use of the distributive law?

Explain why the square of the sum of two numbers is different from the sum of the squares of two numbers.

Penny Nom lui répond.
The square root of 2 2005-03-12
Madhumita pose la question :
From Pythagoras theorem we can draw square root 2 as a finite distance but it is irrational number which is endless. Explain how we can equate these two.
Harley Weston lui répond.
What is the least three-digit palindrome that is a square number? 2005-02-12
Ben pose la question :
What is the least three-digit palindrome that is a square number?
Chris Fisher and Penny Nom lui répond.
Is a square a rectangle? 2004-11-21
Carol pose la question :
I am a teacher. In an FCAT sixth grade review test, there was a question to the students to draw a square and then they referred to it as a rectangle.

What is the definition that makes a rectangle a square that can be taught to the students without confusing them.

Walter Whiteley lui répond.
Largest square inside a circle 2004-10-25
Bob pose la question :
my granddaughter asked
what is the largest size square in inches would fit in a 60 inch circle?
I believe it to be around 42.3 inches but would like to teach her how to do it mathematically.

Penny Nom lui répond.
Square roots and inequalities 2004-10-25
Waheed pose la question :
Q1. What is the simplest way of finding a square root of any number using just a pen and paper? (I am asking this question because I browsed a few sites a didn't find any method that is simpler than the one I use. so I am just curious.)

Q2. Is it possible that you take an equation and turn it into an inequality by performing same mathematical operations on both sides?

Claude Tardif and Penny Nom lui répond.
A square footage problem 2004-10-19
Jerome pose la question :
I have a peice of property that is almost a triangle but not exactly about 280 frontage with the side lines at 228 and 237

I was told I had about one acre plus a little, a developer says I have 33,000 sq ft. and I would like to know what the real result is

Penny Nom lui répond.
A binomial squared 2004-09-19
John pose la question :
Can you explain the steps for me, that get you from (a - b)2 to a2 - 2ab + b2
Penny Nom lui répond.
The distance formula 2004-09-04
Joe pose la question :
Why do we use square roots and squares in the distance formula Wholdnt they cancel each other out?
Claude Tardif lui répond.
The area of a lot 2004-08-22
Cassie pose la question :
I'm in the process of purchasing some land and I'm trying to figure out the square footage of the property. Unfortunately, it's be a while since I had to remember this type of formula. The property is 140 ft on left side, across the back it is 220.61 ft, the right side is 167.52 ft, the frontage is 105 ft.
Penny Nom lui répond.
2.79 acres 2004-08-11
Helen pose la question :
What would the square footage be of 2.79 acres?
Penny Nom lui répond.
Factoring 2004-07-19
A student pose la question :
Factor completely:
3x3 - 24y3
54x6 + 16y3
16xy - 4x - 4y - 1
0.09x2 - 0.16y2

Penny Nom lui répond.
Area of a lot 2004-06-17
Mike pose la question :
Could you please figure out the square footage and acreage of my lot? One side is 228 feet, another is 150 feet, another is 80 feet, and the last side is 164 feet. My house is in the middle and it is 62 feet by 37 feet. Is that subtracted from the total? I would like to know this when I have to buy fertilizer.
Penny Nom lui répond.
Chi-Squared 2004-05-05
Gillian pose la question :
OF75 PEOPLE, 43 ARE EXPOSED TO A VIRUS AND BECOME ILL. 11 PEOPLE ARE EXPOSED AND DO NOT BECOME ILL. 3 PEOPLE ARE NOT EXPOSED AND BECOME ILL. 18 PEOPLE ARE NOT EXPOSED AND DO NOT BECOME ILL. THE ATTACK RATE IS 80% FOR THOSE EXPOSED AND 14% FOR THOSE NOT EXPOSED. THE RELATIVE RISK IS 5.7. CAN YOU EXPLAIN TO ME HOW TO CALCULATE A CHI SQUARE TEST FROM THIS.
Penny Nom lui répond.
3x squared - 27 / x + 3 2004-05-04
Stef pose la question :
3x squared - 27 / x + 3
Penny Nom lui répond.
square root 125 x 16 2004-04-23
Mike pose la question :
how do you simplify a square root of "- square root 125 x16" when x is a variable... i don't really get how to do this....
Penny Nom lui répond.
Some factoring problems 2004-04-15
KJ pose la question :

Factor these:
x3+125 -----> (x+5)3
8x3-27 -----> (?)
x2+36 -----> (x+6)2
x4-5x2+4 --> (?)


Penny Nom lui répond.
A geometry problem 2004-03-04
Jennifer pose la question :
I need help with this problem: Square ABCD has side length 2. A semicircle with diameter AB is constructed inside the square, and the tangent to the semicircle from C intersects side AD at E. What is the exact length of CE?o
Chris Fisher lui répond.
Acres and square miles 2004-02-17
Richard pose la question :

How many acres are in .17 square miles? and How many acres are in .6 square miles?

The two areas I am requesting information about are Vatican City and San Marino, the two smallest countries in the world. If I can transfer the sq. miles into acres , I can relate the size of these countries to our school grounds and the students will better understand their sizes.


Penny Nom lui répond.
Twelve acres 2004-01-13
Heather pose la question :
I am looking at buying a property that includes 12 Acres of land and I am trying to visualize what this size is equivalent to. I have searched your site and figured out how many square feet it is but I was hoping that you could apply 12 Acres to something tangible, like a football field!
Penny Nom lui répond.
The square footage of an acre 2004-01-12
Paul pose la question :
What is the square footage of an acre of land assuming all four sides are equal in length.
Penny Nom lui répond.
400, 100 and 2500 2003-12-21
A student pose la question :
A person likes 400 but dislikes 300
He also likes l00 but dislikes 99
He also likes 2500 but dislikes 2400

Which of the following does John like
900, 1000, 1100 or 2400


Penny Nom lui répond.
Difference of squares 2003-11-24
Susie pose la question :

Factor assuming that n is a positive #

Problem: (I will give it to you in words beacuse I don't know how to do exponents on the computer.) Forty-five r to the 2n power minus five s to the 4n power. I was hoping you could walk me through it not just give me the answer.


Penny Nom lui répond.
root24 = 2 root6 2003-11-13
Burke pose la question :
I know that all algerbra can be represented visually, for example: Y=9x+3 is a line on a two dimentional plane. Could Math Central please send me a visual representation of the proccess of simplifying square root like root24 equals 2root6
Penny Nom lui répond.
A least squares line 2003-11-09
Michelle pose la question :
Hooke's Law asserts that the magnitude of the force required to hold a spring is a linear function of the extension e of the spring. That is, f = e0 + ke where k and e0 are constants depending only on the spring. The following data was collected for a spring;

e: 9 , 11 , 12 , 16 , 19
f : 33 , 38 , 43 , 54 , 61

FIND the least square line f= B0 + B1x approximating this data and use it to approximate k.
Penny Nom lui répond.

Squares in a rectangle 2003-10-21
Raj pose la question :

Draw a rectangle with sides of 3 and 4. Divide the sides into 3 and 4 equal parts respectively. Draw squares joining the points on the sides of the rectangle. You will have 12 small squares inside the 3 x 4 rectangle.

If you draw a diagonal of the rectangle, it will intersect 6 of the the 12 smaller squares.

Similarly, if you have a 4 x 10 rectangle, the diagonal would intersect 12 of the 40 squares inside the rectangle.

Is there an algebric equation that determines the number of squares that will be intersected by the diagonal of a rectangle?


Chris Fisher lui répond.
Making a square 2003-09-07
A student pose la question :
if I am given any number (say 80 for example), how may I determine the smallest whole number integer which when multipled by it will yield a square number ? In other words if I express this as: 80Ý*ÝnÝ=ÝsquareÝnumber, what is the least value of n which will yield a square.
Penny Nom lui répond.
Acres 2003-08-13
A landowner pose la question :
Can you please tell me how many total acres the following measurements would equal? 280 feet by 80 feet
220 feet by 70 feet
200 feet by 75 feet

Penny Nom lui répond.
Numbers John likes 2003-06-20
Steve pose la question :
John likes 400 but not 300; he likes 100 but not 99; he likes 2500 but not 2400.

Which does he like?
900
1000
1100
1200

Penny Nom lui répond.
2/sqrt(2) 2003-05-07
Mike pose la question :
I was looking at an example of csc 45 deg where

csc = hyp / opp = 1 / (sqrt(2) / 2) = 2 / sqrt(2) = sqrt(2)

I just don't get this. If sqrt(2) = 1.4142145..... How can 2 / sqrt(2) = sqrt(2) as the example shows?


Penny Nom lui répond.
The square of my age was the same as the year 2003-04-14
Pat pose la question :
Augustus de Morgan wrote in 1864, "At some point in my life, the square of my age was the same as the year." When was he born?
Penny Nom lui répond.
Can twice a square be a square? 2003-03-25
Mike pose la question :
The other day it occurred to some students that they could think of no square number which is an integer, which can be divided into two equal square numbers which are intergers, Or put another way, no squared integer when doubled can equal another square integer. For example 5 squared plus 5 squared is 50, but 50 is not a square number.
Walter Whiteley and Claude Tardif lui répond.
Can a square be a rhombus? 2003-03-04
Beth pose la question :
Can a square be a rhombus? Some sources say yes, some say no. Some sources define a rhombus as a quadrilateral and parallelogram with equal sides, but without right angles. Some sources say a square is a special case of a rhombus. Clarity, please!
Walter Whiteley lui répond.
Can a square be considered a rectangle? 2003-02-27
Carla pose la question :

Can a square be considered a rectangle? (since opposite sides are same length and parallel)

Would a regular hexagon or octagon be considered a parallelogram since its opposite sides are parallel? or does a parallelogram HAVE to have only 4 sides?


Penny Nom lui répond.
A section of land 2003-02-25
Bev pose la question :
How many acres in a section of land? How many square miles is in a secion of land?
Penny Nom lui répond.
0.027 acres 2003-01-16
Cory Lee pose la question :
How many square feet are in How many square feet are in .027 acres??
Penny Nom lui répond.
Factoring 2002-12-11
Larry pose la question :
Question:

how do u factor trinonmials

EX: X 3 + Y 3

X 3 - 8Y 3

8X 2 - 72

64A 3 - 125B 6

Penny Nom lui répond.
Is a square a rectangle? 2002-10-20
Nona pose la question :
Are squares rectangles? Third grade math teacher told a student this was true. Grandmother needs confirmation on this!
Claude Tardif and Harley Weston lui répond.
8 squares from 12 sticks 2002-10-08
A student pose la question :
If you have 12 sticks the same size, how do you make them into 8 squares?
Claude Tardif lui répond.
A square of tiles 2002-08-30
Rosa pose la question :
How do I go about finding a formula for the number of tiles I would need to add to an arbitrary square to get to the next sized square?
Penny Nom lui répond.
When is 1! + 2! + 3! + ... + x! a square? 2002-08-19
Sarathy pose la question :
Solve :

1! + 2! + 3! + ... + x! = y 2

How do i find the solutions ?


Claude tardif lui répond.
0.63 of an acre 2002-06-08
Sherry pose la question :
how many square feet are in 0.63 of an acre
Penny Nom lui répond.
Constructing the square root of 3 2002-06-07
Allan pose la question :
I am a Math 7/8 teacher. I was wondering how you would show a student how to find the exact location of the square root of three on the number line using just a compass and a straight edge.
Penny Nom lui répond.
Square numbers 2002-05-01
Sally pose la question :
Is one considered a square number?
Penny Nom lui répond.
The square root of four 2002-04-13
Frank pose la question :
In a recent quiz we where asked the square root of four. The quizmaster gave the answer as not only 2 but also -2. Being pedantic I queried this. Although -2 squared is 4, does it follow that the root of 4 is -2 Can you enlighten us?
Claude Tardif and Penny Nom lui répond.
Sodding the yard 2002-04-08
Craig pose la question :
my parents want to lay sod in our back yard.

the sod cost $2.00 per square foot.

The size of our yard is 20x20 and 26x41


Penny Nom lui répond.
Area of an octagon 2002-04-01
Someone pose la question :
What is the actual square footage of a 12' octagon?
Penny Nom lui répond.
The square root of i 2002-03-14
Arlene pose la question :
what is the square root of i, if i=x+yi?

what is the square root of 1-i? i'm getting problems like these in which I do not understand.


Harley Weston lui répond.
The square root of 2 2002-03-05
Roger pose la question :
Does two (2) have a square root or do the numbers just keep going? Are there any other numbers that behave like two when it comes to extracting the square root?
Penny Nom lui répond.
Double square roots 2002-02-17
Ali pose la question :
i have a question about how to do double square roots with variables and powers.

example : v/"" v/"" 81y8


Harley Weston lui répond.
Number conversions and averages 2002-02-03
A student pose la question :
A table has the measurements of 1.6m by 2m, how much material is needed to cover table? I converted to cm then multiplied but got an answer of 32000cm ,so I divide by 100 to get to metres - the answer was 320 which I know is wrong - please explain!!

Also I need to explain in my own words what an 'average' is and I am struggling.


Penny Nom lui répond.
Square arrangements of clovers 2002-02-03
Cassie pose la question :
Clyde had a strange fascination with numbers. One day he decided to mount his 4 leaf clover collection in groups of square numbers.he took a long piece of butcher paper and glue and began this arduous task.There was 1 clover,4 clovers.and then 9 clovers in the third set. what would be in the seventh set of 4 leaf clovers?
Penny Nom lui répond.
A sequence 2002-01-16
Chris pose la question :
I have spent two days trying to determine the pattern to the following set of numbers: 1,4,9,1,6,2,5,3,6,4,9,6,4,8,1,____. I need the next four numbers to the sequence.
Claude Tardif lui répond.
Linear regression 2002-01-16
Murray pose la question :
If you have a set of coordinates (x[1],y[1]),(x[2],y[2]),...,(x[n],y[n]),find the value of m and b for which SIGMA[from 1 to m=n]AbsoluteValue(y[m]-m*x[m]-b) is at its absolute minimum.
Harley Weston lui répond.
Solving x^2-3x+5=0 2001-11-30
Katy pose la question :
How do you find the solution to x2-3x+5=0?
Penny Nom lui répond.
Magic squares 2001-11-17
A student pose la question :
7th grader wanting to find solution to magic square:

place the integers from -5 to +10 in the magic square so that the total of each row, column, and diagonal is 10. The magic square is 4 squares x 4 squares.

Penny Nom lui répond.
(a+b) squared and a squared plus b squared 2001-11-14
Kristen pose la question :

(a+b)2 = a2 + b2

Is this true for all whole numbers, and why?


Penny Nom lui répond.
2=the square root of (2 + the square root of (2 + the square root of (2 +...))) 2001-11-05
Cynthia pose la question :
justify algebreically, that:

2=the square root of 2 + the square root of 2 + the square root of 2 + the square root of 2 + the square root of 2 + and so on, .......


Penny Nom lui répond.
Squares of negative numbers 2001-11-03
Susana pose la question :
I wanted to know if I can square a negative number..?
Leeanne Boehm lui répond.
Squaring the circle 2001-10-23
Margaret pose la question :
I have the following question that I cannot answer on my own (I don't know where to begin): Is it possible construct a square whose area will equal the area of a given circle? Please Explain why or why not.
Penny Nom lui répond.
Some algebra 2001-10-15
James pose la question :
I cannot figure these out I was wondering if you could help me? I have no one to answer my questions.
  1. (7x2 – 3yz)2 – (7x2 + 3yz)2

  2. Use Pascal’s triangle to expand (2x – y)4

  3. 8x3 y - x3 y4

  4. (m + 3n)2 – 144

  5. 12x4 y – 16x3 y2 – 60x2 y3

  6. p3 q2 – 9p3 + 27q2 – 243

Peny Nom lui répond.
Squares of one digit numbers 2001-10-15
Needa pose la question :
What two two-digit numbers are each equal to their right-most digit squared?
Penny Nom lui répond.
Area of a quilt 2001-10-14
Jack pose la question :
  1. how would you find the area of the quilt? which is a square

  2. how would you fined the area of each square?

Penny Nom lui répond.
Acres 2001-10-10
Allison pose la question :
how many feet are there in an acre?
Chris Fisher lui répond.
Pythagoras & magic squares 2001-10-09
John pose la question :
My grandson became intrigued when he recently 'did' Pythagoras at elementary school. He was particularly interested in the 3-4-5 triangle, and the fact that his teacher told him there was also a 5-12-13 triangle, i.e. both right-angled triangles with whole numbers for all three sides. He noticed that the shortest sides in the two triangles were consecutive odd numbers, 3 & 5, and he asked me if other right angled triangles existed, perhaps 'built' on 7, 9, 11 and so on.

I didn't know where to start on this, but, after trying all sorts of ideas, we discovered that the centre number in a 3-order 'magic square' was 5, i.e. (1+9)/2, and that 4 was 'one less'. Since the centre number in a 5-order 'magic square' was 13 and that 12 was 'one less' he reckoned that he should test whether a 7-order square would also generate a right-angled triangle for him. He found that 7-24-25, arrived at by the above process, also worked! He tried a few more at random, and they all worked. He then asked me two questions I can't begin to answer ...

  1. Is there a right-angled triangle whose sides are whole numbers for every triangle whose shortest side is a whole odd number? and

  2. Is each triangle unique (or, as he put it, can you only have one whole-number-sided right-angled triangle for each triangle whose shortest side is an odd number)?

Chris Fisher lui répond.
The square root of 20 2001-09-18
Dianna pose la question :
How do you simplify a square root? My daughter tells me that the square root of 20 simplified is 5root4
Penny Nom lui répond.
The square root of 21/168 2001-09-10
A student pose la question :
can you show me how to do this square root of 21/168
Penny Nom lui répond.
Primes and square roots 2001-06-14
Paul pose la question :
I have a bit of a math problem. It has to do with determining if a very large number is a prime. One method entails dividing the number by every smaller prime number. If any divide into it, it's not a prime. This would be a big job if the number was something like 400 digits long. Another way I read about was to take the square root of the number and test all the primes less than its square root. The explanation went like this: "When a number is divided by another number that is greater than its square root, the result is a number smaller than the square root. For example, the square root of 36 is 6. Dividing 36 by 2, a smaller number than 6, gives 18, a number that is larger than the square root. To prove that 37 is prime it is only necessary to divide it by primes less than 6, since if it had a prime factor greater than 6, it would have to have one less than 6 as well."

I understand the explanation, up to the last sentence. I fail to see the underlying logic. Why if a prime factor exists below the square does one have to exist above the square too? The number 40 can be divided by the prime 2, a number below its square root, but no other primes can do this above its square root. Have I missed something? What's the logic here?


Claude Tardif and Penny Nom lui répond.
Teaching square roots 2001-05-08
Katie pose la question :
My friend and I are doing a project. We have to teach our class about square roots. What is the easiest way to teach square roots to a class?
Penny Nom lui répond.
How many acres are in a square mile? 2001-05-04
Terri pose la question :
How many acres are in a square mile?
Judi McDonald lui répond.
Are you overweight? 2001-05-03
Oneita pose la question :
How do I square a number.....?

My problem is : square your height in inches and take 4.25 percent of the result to determine if you are overweight.


Claude Tardif lui répond.
Squares of Fibonacci numbers 2001-04-24
Vandan pose la question :
What discoveries can be made about the sum of squares of Fibonacci's Sequence?
Penny Nom lui répond.
Squares on a chess board 2001-04-11
Tom pose la question :
It was once claimed that there are 204 squares on an ordinary chessboard (8sq. x 8sq.) Can you justify this claim? "PLEASE" include pictures.

How many rectangles are there on an ordinary chessboard? (8sq. x 8sq.) "PLEASE" include pictures.


Penny Nom lui répond.
Dots on squared paper 2001-03-30
Tom pose la question :
Consider some squared paper with lines 1cm. apart and dots where the lines cross. Place squares whose sides are whole numbers of centimetres on the paper in such a way that the sides of the squares always lie along the lines on the paper. For each square, find (a)the number of points inside the squares; (b)the number of points on the square and (c)the area of the square. How are these quantities related?
Leeanne Boehm and Penny Nom lui répond.
Radicals 2001-03-18
Nikki pose la question :
3) squareroot of x2 + 10x + 25

4) sixthroot of (m + 4)6

5) cuberoot of -64r6w15

.
.
.
.

Penny Nom lui répond.
The price of a carpet 2001-03-01
Amber pose la question :
i have to calculate the square footage of carpet for me room and im not quite sure how to do that. the carpet is $2.08 per sq. ft. and my room is 12x11ft.
Penny Nom lui répond.
What is my name? 2001-02-23
Julia pose la question :
My perimeter is 12 cm. My sides are all equal. The sum of half my sides is equal to 6 cm. How many sides do I have? What is my name?
Penny Nom lui répond.
Difference of Squares 2001-02-22
Bruno-Pierre pose la question :
I noticed the other day that if you substract two consecutive squared positive numbers, you end up with the same result as if you add up the two numbers.

Ex. 5 and 6 (2 consecutive positive numbers)
52 = 25
62 = 36
36 - 25 = 11 (Substraction of the squared numbers)
5 + 6 = 11 (Sum of the numbers)

A more algebric view:
a2 - b2 = a + b where a and b are consecutive positive positive numbers. (b = a + 1)

I wondered if this rule had a name, and who discovered it.


Penny Nom lui répond.
Difference of squares 2001-02-20
Janna pose la question :
Hi! I was just wondering how you would factor x2 - 9y2.
Harley Weston lui répond.
Finding roots 2001-02-01
A student pose la question :
My math problem is right now we are working on roots. I don't quite understand how to find the answer to the problems, i was wondering what is the easiest, and fastest way to find the answers to roots?
Penny Nom and Claude Tardif lui répond.
Equilateral 2001-01-25
A student pose la question :
I AM 9 YEARS OLD AND I HAVE HOMEWORK. I WOULD LIKE TO KNOW IF THERE IS SUCH A THING AS A EQUILATERAL SQUARE.
Penny Nom lui répond.
Square feet and cubic feet 2001-01-21
Jenny pose la question :
How do I convert square feet to cubic feet? If I have 2000 square feet then how many cubic feet do I have?
Harley Weston lui répond.
Exponents 2001-01-14
A student pose la question :
I am wondering if a number raised to the second power is "squared" and a number raised to the third power is "cubed" is there a name for any number raised to any other power.
Harley Weston lui répond.
Completing the square 2001-01-12
Jacky Lam pose la question :
A friend told me that completing square not only can find the vertex but also the roots of a quadratic equation. Is it possible? How? Can you show me how to find the roots of the following equation using completing the square?

8x2 + 8x + 4


Penny Nom lui répond.
Factoring (u-v)3+v-u 2000-12-15
A parent pose la question :
I am a middle school teacher and a parent. I am snowed in and trying to help my 9th grader get ready for 9 weeks exams. I have tried to factor this problem to no avail. (u-v)^3+v-u. I have the answer but I need to know how it is done.
Penny Nom lui répond.
Square roots 2000-10-29
Pamela pose la question :
HERE GOES(I WILL USE Q AS THE SYMBOL FOR SQUARE ROOT):

8(Q2) - 5(Q2) + Q2

SECOND PROBELM IS

(1 + Q2)2

LAST ONE

3/(2-Q5)


Claude Tardif lui répond.
Overlapping a circle and a square 2000-10-28
Jacky pose la question :
A square with a dimension 20 by 20cm. and a quarter of the circle with the radius of 25cm (A quater of a circle is created by 2 cuts that are perpendicular bisectors of each other where the intersecting point is at the centre of the circle). With these 2 pieces, the 2 pieces are placed over each other in which the 90o angle of the quarter circle matches with one of the right angles on the square. Now, calculate the overlapping area of the 2 figures.
Chris Fisher and Harley Weston lui répond.
The sum of the cubes is the square of the sum 2000-10-10
Otoniel pose la question :
Without using mathematical induction, or any other method discovered after 1010 a.d. , prove that the sum of i3, (where i, is the index of summation) from one to, n, is equal to ((n*(n+1))/2)2
Penny Nom lui répond.
n3 + 2n2 is a square 2000-09-04
David Xiao pose la question :
determine the smallest positive integers, n , which satisfies the equation

n3 + 2n2 = b

where b is the square of an odd integer


Harley Weston lui répond.
A equation with a square root 2000-09-03
Lea pose la question :
Please help with 2 plus the square root ( and under it has x plus 1) = 6
Thank you

Penny Nom lui répond.
The sum of the squares of 13 consecutive positive integers 2000-08-25
Wallace pose la question :
Prove that it is not possible to have the sum of the squares of 13 consecutive positive integers be a square.
Harley Weston lui répond.
Completing a square 2000-07-10
Lexa Michaels pose la question :
How do you complete a square? the textbook question is: x 4 + 64
Penny Nom lui répond.
1+4+9+16+...n^2 = n(n+1)(2n+1)/6 2000-06-01
Shamus O'Toole pose la question :
How do you derive that for the series 1+4+9+16+25.. that

S(n)=(n(n+1)(2n+1))/6


Penny Nom lui répond.
The square root of -1 2000-05-19
Gary pose la question :
i am not a student i am just some one that heard something and i can't be sure on the answer...my ? is what is the square root of -1? i think it is -1 but not sure can you let me know please thank you
Harley Weston lui répond.
Circumference = Area 2000-04-19
Scot George pose la question :
The area and circumference of a circle has the same measurement. Find the radius.
Chris Fisher lui répond.
Factoring trinomials that are squared 2000-04-17
A student pose la question :
I have a question that I really need an answer to. I need help with factoring trinomials that are squared.
Penny Nom lui répond.
The square root of 3 2000-04-04
Mr. William pose la question :
Prove that root 3 is irrational
Harley Weston lui répond.
Completing the square 2000-03-11
Sandra pose la question :
How do i complete the square and leave in simple radical form? x squared + 18x - 17=0
Penny Nom lui répond.
Triangular numbers and square numbers 2000-03-02
Emily McCallum pose la question :
Would someone find me some math activities using triangular numbers and square number. Especially acitivities that actually form the shapes. They need to be at the 5th grade or 6th grade level. But you can not find anything that can be tauht at these level, that fine. I just need to be able to teach this new subject or kind of math to my kids.
Rick Seaman and Penny Nom lui répond.
Three factors 2000-02-21
A parent pose la question :
Question from a parent helping a child, grade 4, with homework. Can a number have three factors? Name three numbers that have three factors.
Penny Nom lui répond.
Is a square a rectangle? 2000-02-15
Jaireh pose la question :
This is something that aroused a debate in class: A rectangle was defined as a parallelogram with 4 right angles. A square was defined as a parallelogram with 4 congruent sides and 4 right angles.

I need written and conclusive proof that some rectangles can or cannot be squares. I tried insisting that some of them can.. but without proof nobody will listen.


Walter Whiteley lui répond.
A 4-by-4 magic square 2000-02-06
Maureen Fitzsimons pose la question :
I need to create a 4x4 grid using numbers .1, .2, .3, .4, ....1.1, 1.2, 1.3,1.4,1.5,1.6 the sum of the number diagonally, horizontally and across all equal 3.4
Penny Nom lui répond.
Factoring ^6 2000-01-03
Athena pose la question :

my name is Athena and I have a question on factoring: how would you figure this out:

(x6-y6) and (x6+y6)


Penny Nom lui répond.
An area problem 1999-11-29
Vicky Birch pose la question :
The length of a rectangle is three times it's breadth. If the length were 6 meters less, and the breadth were 6 meters more, the rectangle would be a square. Make a mathematical model and solve the resulting equation to find the breadth of the original rectangle. What is the area of the square?
Penny Nom lui répond.
Ben's observation 1999-10-28
Emily Nghiem and Ben Rose pose la question :
As a teacher at a school called Educere in Houston, I have a ninth-grade student who discovered the following shortcut last year as an eight-grader. What he noticed is that given any two consecutive integers (or n and n+1 for any rational number greater than or equal to 2), the difference between their squares was equal to the sum of the two numbers.
.
.

Chris Fisher and Penny Nom lui répond.
Calculating a square root 1999-10-28
Jonathan pose la question :
What is the formula for calculating a square root?
Penny Nom lui répond.
An odd number of factors 1999-10-22
Melissa pose la question :
What is the common name used for numbers that have an odd number of factors? What is the least positive integer that has exactly 13 factors?
Penny Nom lui répond.
A sum of two squares 1999-10-08
Marksmen pose la question :
what is the smallest whole number that can be written two ways as a sum of two different perfect squares? i.e.11squared plus 3 squared is 121+ 9=130 and7 squared + 9squared=49 +81= 130. Are there any smaller? I am stumped!
Claude Tardif lui répond.
Magic Square 1999-09-18
Nick Grundberg pose la question :
Using the this square, fill in the squares using the numbers 1 through 9 just once to make all the sums equal in all directions, across, down, and diagonally.

Then tell what the sum of the magic square equals.
Penny Nom lui répond.

2 to the x and x squared 1999-09-17
John pose la question :
For what values of x is 2 to the exponent x greater than x squared?
Harely Weston lui répond.
Square roots without a calculator 1999-09-14
Josh Weiner pose la question :
Is there any way to find out a square root without a calculator?
Harley Weston lui répond.
A difference of squares problem. 1999-07-24
Michael and Stephanie Bixler pose la question :
If you have the equation x= n2 - m2 (ie 40= 72-32= 49-9) x must = a positive number

1) which squared numbers work as n and m
2) how does it work
3) if my teacher gave me the number for x; how could I figure out this problem
Harley Weston lui répond.

The number of acres in a square mile 1999-07-09
Rita Murphy pose la question :
What is the # of acres in square mile
Harley Weston lui répond.
Introductory Algebra 1999-05-19
Pat pose la question :
(2 + sq. root of 3) x (2 - sq. root of 3) = 1

Please show me the work.
Harley Weston lui répond.

Square feet and acres. 1999-05-15
Helene Freeman pose la question :
How can I find out about acres in sq. ft. a house lot is 2360 sq. ft. and the house is on 1432 how many acres are left?
Penny Nom lui répond.
An equilateral triangle on a square 1999-04-26
Ed pose la question :
My Grade 8 class and I were discussing the solution to the following problem:

What is the area of the largest equilateral triangle that can be drawn on a 5 cm square.

We used 5 cm as the base of our triangle and then drew the other two legs of 5 cm each to make the equilateral triangle. We then drew an altitude from the upper vertex to the base of the triangle. Using the law of Pythagoras with side a of 2.5 and side c of 5 we calculated side b to be 4.3 cm (the altitude). Therefore the area of the triangle would be 5 x 4.3 divided by 2 or 10.75 square cm.

The answer key to this resource says I am wrong.

What do you think? Have we interpreted the question incorrectly?
Chris Fisher and Harley Weston lui répond.

Universal Area 1999-04-08
Karen Richardson pose la question :
I need a formula for area that works for a square, a rectangle, a parallelogram, a trapezoid, and a triangle.
Jack LeSage, Chris Fisher and Harley Weston lui répond.
Factoring 1999-03-30
Maggie Stephens pose la question :
I don't know anything about factoring would you plese help me.

3x4 - 48

54x6 + 16y3

125-8x3

12x2 - 36x + 27

9 - 81x2

a3 + b3c3

I would greatly appreciate any help you can give me thanks.
Jack LeSage lui répond.

A Frustum 1999-03-29
Monica Armour pose la question :
What do you call a square pyramid that has had the top chopped off?
Chris Fisher and Jack LeSage lui répond.
Factoring 1999-03-08
L. Sivad pose la question :
Question:
m2+6m+9-n2

Penny Nom lui répond.
The square root of two is never supposed to end 1999-03-06
a wondering student pose la question :
i am algebra II and am in the 9th grade. today we were talking about rational and irrational numbers. When we were talking about square roots my friend and i were talking and we thought of something. if you have a square with sides of length one then the diagonal of the square is the square root of 2. Now the square root of two is never supposed to end. But the diagonal of the square ends so therefore doesn't the square root of 2 end. our math teacher did not really answer our question because it was not in the lesson plan and not to many people would see where we were coming from. the answer is really bugging me and i would like to have your input.
Jack LeSage and Penny Nom lui répond.
Magic Squares 1999-02-11
Katie Powell pose la question :
My name is Katie Powell. I'm in the 7th grade, taking Algebra. I live in Houston, Texas. My problem is this:

"Use the numbers 1-9 to fill in the boxes so that you get the same sum when you add vertically, horizontally or diagonally."

The boxes are formed like a tic-tac-toe -- with 9 boxes -- 3 rows and 3 columns.

Can you help?
Jack LeSage lui répond.

The Quadratic Formula 1999-01-22
Eric Morgan pose la question :
Hi my name is Eric Morgan and I m in 8th Grade honors math (middle) and I'd like to know how to prove the quadratic formula -b±sqrt of b(a)(c)over 2(a)
Penny Nom lui répond.
Complex Numbers 1998-12-23
Wayne Bagley pose la question :
I would like to know what is the square root of i , and i squared? I am looking for a response appropriate for secondary level students.
Harley Weston lui répond.
A tetrahedron inscribed in a cube 1998-11-18
Jane pose la question :
In analyzing a cube, I would like to find a tetrahedron inscribed in the cube which has none of its faces in the planes of the faces of the cube. I would like to see this tetrahedron outlined in the cube.

My name is Jane and my e-mail address is BARSOIAN. I am an elementary education student.
Walter Whiteley lui répond.

Triangular Numbers 1998-10-30
Matt pose la question :
i would like to know about triangular numbers and it history i would also like to know about the history of prime numbers thank you
Chris Fisher lui répond.
A Six Digit Number 1998-10-27
Craig Bedard pose la question :
If a certain six-digit number is split into two parts, one constituting the first three digits and the other the last three digits, and the two parts are added and the resultiong sum squared, it is found that the product is the original six digit number. What is the original six-digit number?

At first it seemed liked an impossible question, until it hit me...how long will it take you?
Jason Stein and Dan Usselman lui répond.

Students and Lockers 1998-10-02
Mike pose la question :
There is a row of 1000 lockers.
There is a line of 1000 students.

Student number 1 starts at the first locker and opens all 1000. Student number 2 starts at the second locker and closes every other one. Student number 3 starts at the third locker and goes to every third one, closing the open ones and opening the closed ones. Student number 4 does the same with every fourth locker and so on down the line... After all 1000 students have gone how many lockers are open and which ones are they?

Please help! There is proboly a simple solution but we couldnt figure it out for the life of us. Please let us know how you solve it.
Patrick Maidorn and Penny Nom lui répond.

Radicals 1998-09-15
Lana Sabo pose la question :
Question:
fifteen times the square root of twenty, divided by the square root of 2.

nine subtract the square root of forty-five, divided by 3.

the square root of 18 plus the square root of 12, divided by the square root of 3.
Harley Weston lui répond.

Difference of squares 1998-06-23
Kristen Smelsky pose la question :
Solve the following using a difference of squares:

4x(squared) minus 4xy plus y(squared) minus m(squared) plus 2m minus 1
Penny Nom lui répond.

x^2 = ...444 1998-02-23
James Bauer pose la question :
What is the first interger that when squared ends in three 4's? (ex. x^2 = ...444)

Prove that there are no intergers that when squared end in four 4's (ex. x^2 = ...4444)
Penny Nom lui répond.

The Range of a Function. 1997-09-12
Karel Marek pose la question :
Math Is Book 6 (Ebos/Tuck) question 5(b) gives a surprising answer at the back of the book..

The question is:
Indicate the domain and range for this: y = sqr(x-9) (Square root of)

The answer for the domain is x>=9 which is not surprisingly, but the range is y>=0, yER ... which I could understand if you were not allowed to transform the equation into x as the subject..

But all example on the facing page DO TRANSFORM the equation at will with x and/or y as the subject..

Can you explain this...
??
Chris Fisher lui répond.

Square Root History 1997-08-29
Carlos Montecel S. pose la question :
I need find information over the "Square Root History", Could you help me?
Harley Weston lui répond.
Square Roots and Functions. 1997-04-23
Ed pose la question :
1. In most texts the solution to a question such as square root x = -6 is

x is undefined.

Yet when teaching to solve
xsquared = 36
x = +6 or -6

There appears to be a contradiction here. My question is when, where and why do we use the principle square root, not both + and -? This often occurs as the extraneous root in the solution of radical equations and in stating the domain and range of functions involving square roots.

2. Are there any simple rules for determining whether equations are functions without graphing them and doing a vertical line test?
Harley Weston lui répond.

Why QUADratic? 1997-03-19
Paula Miller pose la question :
A student today asked me why a quadratic, with highest power of degree 2, was called a QUADratic. We're awaiting the answer with baited breath! :)
Chris Fisher and Walter Whiteley lui répond.
Approximating roots. 1996-11-04
Ben Dixon pose la question :
How do you calculate a square root? eg the square root of 2.

There is obviously some sort of successive approximation type algorithm for doing it to however many decimal places is required, but what is the algorithm?
Harley Weston lui répond.

Square roots 1996-03-16
Terry King and John pose la question :
We are just curious about how to manually calculate square roots.
Harley Weston lui répond.
Algorithms for roots 1996-02-22
Charles Hewitt pose la question :
I have seen an algorithm for finding the square root of numbers. Are there similar such algorithms for higher roots?
Harley Weston lui répond.
Magic Square 1995-10-20
Marianne and Carrie pose la question :
How can an 8 by 8 square have the same area as a 5 by 13 rectangle?
Denis Hanson lui répond.
 
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