Question

The cross section of a water bin is shaped like a trapezoid. The bases of the trapezoid are 34 feet and 4 feet long. It has an area of 76 square feet. What is the height of the cross section?

Answer 1

The height of the cross section is
`4\ ft`

Explanation:

we know that

The area of trapezoid is equal to

`A=(1)/(2)(b1+b2)h`

In this problem we have

`A=76\ ft^(2)`

`b1=34\ ft`

`b2=4\ ft`

substitute and solve for h

`76=(1)/(2)(34+4)h`

`152=(38)h`

`h=152/38=4\ ft`