Question

The cross section of a water bin is shaped like a trapezoid. The bases of the trapezoid are 22 feet and 14 feet long. It has an area of 54 square feet. What is the height of the cross section?

Answer 1

Answer:

h = 3 feet

Step-by-step explanation:

Given that,

The bases of trapezoid are 22 feet and 14 feet long.

The area of trapezoid is 54 square feet.

We need to find the height of the cross section. The formula for the area of trapezoid is given by :

$A=\dfrac{1}{2}(\text{sum of parallel sides})\times h\\\\54=\dfrac{1}{2}\times (22+14)\times h\\\\54=\dfrac{1}{2}\times 36\times h\\\\54=18h\\\\h =\dfrac{54}{18}\\\\h=3\ feet$

So, the height of the cross section is 3 feet.