Question

A fancy rug in the shape of a trapezoid has an area of 800 square inches and the sum of the lengths of its parallel sides is 80 inches. What is the height of the rug?

A.
10 in.


B.
20 in.



C.
40 in.


D.
80 in.

Answer 1

The answer is B. 20in.

Explanation:

The parallel sides have to be the two bases (b1 and b2) = 80in.

h = height or altitude.

h = 2(800)/b1+b2

h = 1600/80

h = 20 in.

Answer 2

The height of the Trapezoid is 20 inches

Explanation:

Given Parameters

Shape: Trapezoid

Area of the Trapezoid = 800in²

Sum of opposite parallel sides = 80 in

Required: Height of the Trapezoid...

Are of trapezoid is calculated using the following formula:

A = ½(a + b) * h

Where a + b = sum of the opposite parallel sides

h = height.

A = Area.

By comparison, we have that

A = 800 in²

a + b = 80 in

By substituton, we have that

A = ½(a + b) * h becomes

800 = ½(80)h

800 = ½ * 80 * h

800 = 40 h---- divide through by 40

800/40 = 40h/40

20 = h --- reordsr

h = 20in

Hence, the height of the Trapezoid is 20 inches