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The volume of a wall 2019-05-08
Peter pose la question :
I’m building a dry stack stone wall which is 36” wide at the base, 42” tall and 24” wide at the top. What would be the volume for a 36” long segment ?
Thanks, Peter

Penny Nom lui répond.
The area of a trapezoid 2018-09-24
An other pose la question :
AB-272 feet: AC 690 feet; CD-330 Feet; DA-669Feet Calculate the area in feet and Acres.
Penny Nom lui répond.
The volume of a berm 2018-06-04
Mike pose la question :
Have a berm that is 700’ long, 29’ y’all and needs a 20’ top with 5-1 slope on one side and 3-1 slope in the other
Penny Nom lui répond.
The angles of a trapezoid 2018-04-14
Gautham pose la question :
In trapezoid ABCD, sides AB and CD are parallel, \angle A = 2angle D, and angle C = 3angle B. Find angle A.
Penny Nom lui répond.
A trapezoid inscribed in a circle 2017-05-17
Kameron pose la question :
I have been given a challenge problem that states that Diameter AB is drawn in a circle if 10 inch. Chords AC and BD are drawn so that each is of length 12inch and ACDB is a trapezoid. Find the height, in inches, of the trapezoid
Penny Nom lui répond.
The height of a isosceles trapezoid 2017-04-03
Riham pose la question :
Hi
How can I find the height in an isosceles trapezoid if I have the measurements of all of its sides ? Thank u in advance.

Penny Nom lui répond.
The volume of a trench 2015-03-11
Kim pose la question :
A trench 60m long and 15m deep, 12m wide at the top and 8m wide at the bottom.How many cubic meters of earth have been removed?
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 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.
A circle insubscribed in an isosceles trapezoid 2013-12-08
Bob pose la question :
A circle is insubscribed in an isosceles trapezoid, with parallel lengths of 8cm and 18cm. What is the lengths of sloping edges and why?
Robert Dawson lui répond.
A sloped concrete wall 2013-10-30
Brad pose la question :
We are planning on pouring concrete in a wall form that is sloped. One end is 73 inches tall, and it tapers to 24 inches tall over a distance of 348 inches. It is flat on bottom and sides and is 12 inches thick. Thanks.
Penny Nom lui répond.
A proof by contraposition 2012-10-19
Rahul pose la question :
I am not able to understand the following,
To prove that if for all e>0, |x|0, then |x|>=e. I understand the approach very well but I do not understand why if |x|=e then |x|>=e. If it is so then why not |x|= Thanks in advance!'
Rahul.

Penny Nom lui répond.
A lot with a slope 2012-03-30
Carlos pose la question :
I have a lot with a slope. On the right I need to bring it up 2', From that point to the left is 112' which at this point I need to bring it up 5' for it to be level . The distance front to back is 80'. What is the cubic yards of this area that I need to fill in.
Harley Weston lui répond.
A trapezoidal prism filled with sand 2012-03-12
Maria pose la question :
could a Trapezoid that is 80 inches high with a 54 inch width top and a 89 inch width bottom and a 80 inch depth hold 58 cubic yards of sand?
Robert Dawson lui répond.
The end of a trough 2011-10-21
Lorraine pose la question :
The vertical end of a trough has the following dimensions: width at top 4.4 ft., width at bottom 3.2 ft., depth 3.5 ft. Find the area at the end of the trough.
Penny Nom lui répond.
A trapezoid inscribed in a circle 2011-10-02
Greg pose la question :
A trapezoid is inscribed within a circle. The two interior angles who share the longest side are 70 and 80. The arc whose chord is the longest side has a length of 120. Find the other two interior angles of the trapezoid, and the other three arc lengths.
Chris Fisher lui répond.
A trapezoid 2011-08-02
Nazrul pose la question :
How can I draw a trapezoid whose parallel sides and other two sides are given.
Chris Fisher lui répond.
A stained glass lamp 2011-07-25
Guy pose la question :
Like Kay, I also work in stained glass, but in 3-dimensions. I am frequently asked to replicate lamp shades in stained glass where the diameter of the top is different (narrower) from the diameter of the bottom (which is wider). Some people want 5, 6, 7, 8, 10, 12, 16, ,,, n-sided shades. Is there a formula I can use to determine the width of the sides using the angle, if I remember correctly, I think it's called theta. In other words, is there a formula where I can plug in the angle which describes the arc of the circle. For instance, if someone asks for a 7 sided shade, plugging in 51.43 (360/7). I could then use that to determine the width at the top and bottom rings to create the appropriate trapezoids. I've visited a few sites so the formula looks like its a function of sin & cos but they are presented like proofs for teaching. Your site appears to want to actually answer questions without making the inquirer feel stupid.
Harley Weston lui répond.
A circle is inscribed inside an isosceles trapezoid 2011-02-25
priyam pose la question :
a circle is inscribed inside an isosceles trapezoid (with parallel sides of length 18 cm and 32 cm) touching all its four sides. find the diameter of the circle. thanks for help!!
Penny Nom lui répond.
The height of the trapezoid 2010-12-01
Ryan pose la question :
A trapezoid has an area of 10.5 cm squared and parallel sides that measure 5.0 cm and 2.0 cm what is the height of the trapezoid
Penny Nom lui répond.
The sides of a trapezoid 2010-11-03
Bobbi pose la question :
Isosceles Trapezoid base=60”; two 45⁰angles at base, two 135⁰ angles at the top, vertical distance between base & top=16”. What is the length of the top line and the two equal side lines?
Penny Nom lui répond.
A water trough 2010-10-22
Jasmine pose la question :
A water trough is 8 m long and its cross-section is an isosceles trapezoid which is 90 cm wide at the bottom and 120 cm wide at the top, and the height is 30 cm. The trough is not full. Give an expression for V , the volume of water in the trough in cm^3, when the depth of the water is d cm.
Stephen La Rocque lui répond.
An isosceles trapezoid is inscribed in a circle 2010-04-06
Abby pose la question :
An isosceles trapezoid whose bases have lengths 12 and 16 is inscribed in a circle of radius 10. The center of the circle lies in the interior of the trapezoid. Find the area of the trapezoid
Penny Nom lui répond.
The area of a trapezoid 2010-03-01
mariah pose la question :
the height of a trapezoid is 6 centimeters. one of the bases is three times the height, and other base is four times the height . find the area of the trapezoid
Penny Nom lui répond.
The area of a trapezoid 2010-01-06
maureen pose la question :
the question asks for the area of a trapezoid with parallel sides 5m and 6m and height of 2.5m I have done it by dividing the trapezoid into 2 triangles and reach the same answer as my manual---11.25 sq. m My question...how would you illustrate this? I read this to mean to sets of parallel sides, which would mean it is a parallelogram and not a trapezoid. Any suggestions?
Robert Dawson lui répond.
An isosceles trapezoid 2009-11-12
lyjah pose la question :
what is parallel sides of an isosceles trapezoid measure 5cm and 11cm long.and oneof the other sides also measures s5cn long what of the isosceles trapeziod
Penny Nom lui répond.
The Smythe family lot 2009-05-24
Shrima pose la question :
We must determine the size of the lot. The Smythe family lot is 235ft across the front and 212ft down the side and 254ft down the other side. The sides of the lot are parallel to each other and perpendicular to the front. The size of the lot is two dimensional measure therefore you need to find the areaenclosed by the lot line.
Question:

What is the size of the Smythe lot including the unit?

Penny Nom lui répond.
A triangle inside a trapezoid 2009-04-06
rohan pose la question :
i have a diagram with a triangle inside a trapezoid.trapezoid is PQRS , PQ being the line above and RS THE LINE BELOW.The area of this is 12. If RS is twice PQ what is the area of PQS.
Penny Nom lui répond.
A quadrilateral with exactly 1 pair of parallel sides and no congruent sides 2008-12-10
alie pose la question :
a quadrilateral with exactly 1 pair of parallel sides and no congruent sides is what?
Robert Dawson lui répond.
The diagonals of an isosceles trapezoid 2008-11-14
hazel pose la question :
how to solve the diagonals of an isosceles trapezoid? what is the formula?
Harley Weston lui répond.
The area of a trapezoid 2008-11-04
kelsey pose la question :
The area of a trapezoid is approximately 150cm2...the length is 26 cm, the weight is 5cm...what is the height????
(show me the work that you did so i can understand)

Penny Nom lui répond.
The area of a trapezoid 2008-05-15
Ashley pose la question :
what is the formula for area of a trapezoid
Penny Nom lui répond.
The fourth side of a property 2008-05-14
Penny pose la question :
Property has 3 measurements and 2 angles and I want the altitude at a particular point. Corners are sw, nw, ne and se. 1 want the 4th saide measurement confirmed (we think 146.07') and the altitude measurement at 25' from sw (on the sw-se side) The angles provided are interior at nw 67.38 degrees and the opposing corner se interior appears to be 68.58 degrees. the 3 sides with measurements are: sw to nw=54.07'. sw to se 146.07' and se to ne 53.57'. If you would help, we would really appreciate it. Thanks! Penny
Harley Weston lui répond.
An incorrect Babylonian formula 2008-03-10
Martin pose la question :
Given the area of an isosceles trapezoid is 150, that the difference of its bases is 5 (that is b1 - b2 = 5), and that its equal sides are 10 greater than two-thirds of the sum of its bases (that is, s1 = s2 = 2/3(b1 +b2) + 10 Solve the problem using an incorrect Babylonian formula for the area of a trapezoid A = (b1 + b2)/2 x (s1 + s2)/2 Find the length of the sides of the isosceles trapezoid.
Penny Nom lui répond.
The area of a trapezium (trapezoid) 2007-11-05
Scott pose la question :
How can we calculate this I do not understand? A trapezium of area 126m2 has parallel sides of length 3m and 4m. How far apart are the parallel sides?
Stephen La Rocque and Harley Weston lui répond.
The area of a roof 2007-09-27
RANDY pose la question :
I have an area of roof. It's in a sort of triangle. it's 25' across the top 30' at each edge 86' across the bottom
Stephen La Rocque lui répond.
Are the diagonals of a trapezoid ever perpendicular? 2007-09-23
Amanda pose la question :
Are the diagonals of a trapezoid ever perpendicular?
Harley Weston lui répond.
Subdividing a property into half acre parcels 2007-07-31
Pamela pose la question :
We need to divide a large property with five sides and strange angles into 1/2 acre parcels from the top down. We want to know where along the eastern and western borders of the large property to make the divisions.
Stephen La Rocque lui répond.
More on quadrilateral shape names 2007-05-26
Don pose la question :
If North Americans call a quadrilateral with no parallel sides a trapezium, is a kite merely a special type of trapezium? Can a rhombus be a kite?
Walter Whiteley and 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.
Splitting a 5 acre piece of property 2007-01-25
John pose la question :
I have a 5 acre piece of property that I wish to split into 5 individual 1 acre parcels. The 5 acre parcel 1s 660 feet in length and 330 feet in width. The first two parcels are 264'x165', but I am asking for help getting the perimeters of the last 3 lots, one of which is a irregular pentagon. All of the one acre parcels must have an area of 43,560 square feet each.
Penny Nom lui répond.
Are all rectangles trapezoids? 2007-01-05
Sarah pose la question :
Are all rectangles trapezoids?
Chris Fisher lui répond.
A trapezoid with one right angle? 2006-12-09
Andre pose la question :
How do you draw a trapezoid with one right angle?
Stephen La Rocque lui répond.
The name of a shape 2006-11-11
Valentina pose la question :
I have a shape of 4 sides 3 are the same length (2cm each) and the other smaller (1.5cm)
Chris Fisher lui répond.
Area of a trapezium demonstration 2006-07-18
Karthik pose la question :
how can u " SHOW THAT THE AREA OF THE TRAPEZIUM IS EQUAL TO HALF THE PRODUCT OF ITS ALTITUDE AND THE SUM OF ITS PARALLEL SIDES." in an Innovative And Creative way.....
Stephen La Rocque lui répond.
A proof by contraposition 2006-03-16
Eban pose la question :

1)by mathematical induction prove that 12 + 32 + 52 + ...... + (2k-1)2 = (1/3)k(2k-1)(2k+1) for all positive integers k.

2)show that the contrapositive of the following statement is true. if 1 + M7 is even, then M is odd.


Stephen La Rocque lui répond.
The area of a parallelogram 2006-03-12
Shayne pose la question :
Is there a method of finding the area of a trapezium or/and parallelogram even if the height is not given? Could you also explain how to find the height?
Penny Nom lui répond.
The diagonals of a trapezoid 2005-11-11
Chris pose la question :
Is there ever a case where the diagonals of a trapezoid bisect each other?
Walter Whiteley lui répond.
The diaonals of an isosceles trapezoid are congruent 2005-02-02
Daniel pose la question :
I am currently unable to find a proof that the diaonals of an isosceles trapezoid are congruent. Might you happen to have one?
Walter Whiteley lui répond.
The area of a trapezoid 2005-01-15
Doak pose la question :
What is the total acreage of a pie-shaped piece of land that is:
146' f
ront 85' back
246' each side

The front and back lines are fairly straight....a trapezoidal shape.

Penny Nom lui répond.
An isosceles triangle 2005-01-03
Abraham pose la question :
The question is,"Triangle ABC is not isosceles.Prove that if altitude BD were drawn, it would not bisect AC."My question is If an altitude is drawn wouldn\'t that mean automatically its isosceles because, In a triangle the sides opposite congruent angles(in this case the right angles)are congruent? What am I thinking wrong?
Harley Weston lui répond.
A theorem involving a trapezoid 2004-09-29
Abraham pose la question :
Given:Trapezoid ROSE with diagonals RS and EO intersecting at point M
Prove:Diagonals RS and EO do not bisect each other.

Harley Weston lui répond.
The area of a lot 2004-09-28
Stan pose la question :
I own a parcel of land (lot 20) that is assessed at 9127.00 square feet and has a frontage of 99.90 feet according to the tax roll. I don't know how large my property actually is since I feel that the tax assessment and the survey map don't jive
Harley Weston lui répond.
Constructing a cone 2004-09-07
Steve pose la question :
I am trying to build crayfish traps; one of the components is a cone shaped entry section.

The cone I want to make would be 12" in diameter at the base and 12" in height, from base to peak.

I need a formula to calculate the dimensions and a method of transferring the shape onto a flat piece of material.
Harley Weston lui répond.

An isosceles trapezoid 2004-08-31
Bruce pose la question :
An isosceles trapezoid with bases of lengths 12 and 16 is inscribed in a circle with a radius of 10. The center of the circle lies in the interior of the trapezoid. Find the area of the trapezoid.
Penny Nom lui répond.
The trapezoidal rule 2003-12-31
Prashanth pose la question :
I have a set of XY co-ordinates(say 49 points),I want to find the area enclosed by the curve joining them and the axes.I do not have an equation for the curve and I am not able to fit a curve given the points.I use the trapezoidal rule (Y1+Y2/2)*(X2-X1), Is it right? can I do this with any other method?
Penny Nom lui répond.
Area of a trapezoid 2003-04-13
A road builder pose la question :
My husband works with asphalt building roads. There are times when one end of the road will be (for example) 100ft wide the other end would be( for example) 200ft wide and he must figure the area in square feet. So far it has been a guessing game because he dosen't have the formula to figure the square feet.
Penny Nom lui répond.
A quadrilateral with 0 sets of parallel sides 2001-12-12
Jess pose la question :
Ok well for quadrilaterals a parallelogram is a 4 sided figure with 2 sets of parallel sides and a trapezoid is a 4 sided figure with 1 set of parallel sides.

So is there a name for a quadrilateral with 0 sets of parallel side?


Chris Fisher lui répond.
The median of a trapezoid 2001-10-01
Laura pose la question :
Given: A (1,2) B (9,-2) C (7,2) D (3,4)

Find the endpoints of the median. Use exact values. Write the equation using the letters from the given trapezoid. Verify the theorem using algebra.


Penny Nom lui répond.
A Trapezium problem 2000-12-15
Ben pose la question :
A trapezium has a perimeter of 22cm. The 2 parallel sides are such that the length of one is three times the length of the other. The non-parallel sides are equal. If the distance between the parallel sides is 4cm, find the lengths of the 4 sides.
Claude Tardif lui répond.
An Area 2000-06-26
Frank pose la question :
Can you tell me what the sq. ft. are of and area measuring:
            __________58____________
           |                       | 
            |                      |  
             |                     |    
              |                    |    
               |                   |   
             76 |            70    |       
                 |                 |        
                  |                |        
                  |_____21________ | 

Harley Weston lui répond.
Putting in a pool 2000-03-16
Katie pose la question :
If your digging a hole for a pool and the pool is:

Length= 11m
Width= 6m
Sallow Depth= 1.1m graduating to
'Deep' Depth= 1.8m

What is the volume of soil that will be taken out? And if a bobcat can excavate and remove 10m3 (qubed) of soil an hour how long will it take him to excavate the soil.


Penny Nom lui répond.
Two calculus problems 1999-12-13
Alan pose la question :
I have 2 questions that are very new to me, they were included on a quiz and the material was never covered. Our teacher never explained the purpose and detailed explanation of how to solve the problem. Could you help? Thanks.

Question 1:
A ball is falling 30 feet from a light that is 50 feet high. After 1 sec. How fast is the shadow of the ball moving towards the light post. Note that a ball moves according to the formula S=16t^2

Question 2:
How many trapezoids must one use in order for the error to be less than 10^-8 if we want to find the area under the curve Y=1/X from 1 to 2. Find the exact area, Graph the function and use the trap rule for the "N" that you found.


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.
A Kite 1998-10-07
Paul Scott pose la question :
What is the mathematical term for the kite shape?
Walter Whiteley lui répond.
Isosceles trapezoid formula 1998-05-12
Donna McMullin pose la question :
The teacher of Gifted and Talented Math has been trying to locate the formula for anisosceles trapezoid and we can't find it anywhere. Could it be the same formula for that of a parallelogram ? Please advise.
Walter Whiteley lui répond.
Two Inscribed Trapezoids 1998-01-27
James pose la question :
A hexagon inscribed in a circle has three consecutive sides each of length 3 and three consecutive sides each of length 5. The chord of the circle that divides the hexagon into two trapezoids, one with three sides each of length 3 and the other with three sides each of length 5, has length equal to m/n, where m and n are relatively prime positive integers. Find m+n.
Haragauri Gupta lui répond.
The Area of a Trapezoid. 1997-05-07
Mary George pose la question :
I am doing the area of trapezoids and mixed polygons and I was wondering if you can help me figure out this problem.

A line segment drawn parallel to a leg of a right triangle divides the other leg into segments of 3cm and 6 cm and the hypotenuse into segments of 5cm and 10 cm. The two figures formed are a triangle and a trapezoid. Find the area of each.

I would appreciate if you would email me back the solution.
Harley Weston lui répond.

Show that this construction yields a rhombus. 1996-06-16
LennyB pose la question :
Hello, I have a problem. I doubt you can help me. If you have an isosceles trapezoid, and you connect the midpoints of the four sides of the isosceles trapezoid forming a quadrilateral, how do you prove that it's a rhombus in a 2 column proof??
Penny Nom lui répond.
 
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