Question

A countertop is in the shape of a trapezoid. The lengths of the bases are 70 1/2 and 65 1/2 inches long. The area of the countertop is 1,224 square inches. Write and solve an equation to find height of the countertop.

Answer 1

We have:


`A=(h(b_1+b_2))/(2)`

Given area
`A`, height
`h`, and bases
`b_1` and
`b_2`.

Then, with
`A=1224`,
`b_1 = 70.5`, and
`b_2 = 65.5`, we have:


`(h(70.5+65.5))/(2) = 1224`


`68h = 1224`


`h=18`

So the height is
`18` inches.