Question

The cross section of a water bin is shaped like a trapezoid. The bases of the trapezoid are 21 feet and 5 feet long. It has an area of 26 square feet. What is the height of the cross section?

Answer 1

2 feet

Explanation:

We are given that

`b_1=21 feet`

`b_2=5feet`

Area of trapezoid=26 square ft

We have to find the height of the cross section.

We know that

Area of trapezoid=
`(1)/(2)(b_1+b_2)h`

Using the formula

`26=(1)/(2)(21+5)`

`26=(1)/(2)(26)h`

`h=(26* 2)/(26)=2 feet`

Hence, the height of cross section =2 feet