Question

The area of a trapezoid is 144ft^2. If the height is 8ft and one of the bases Is 12ft, what is the length of the other base?

Answer 1

24 ft

Explanation:

The area (A) of a trapezoid is calculated as

A =
`(h)/(2)`(a + b)

where h is the height and a, b the parallel bases

let a = 12 and find b, that is

`(8)/(2)`(12 + b) = 144

4(12 + b) = 144 ( divide both sides by 4 )

12 + b =36 ( subtract 12 from both sides )

b = 24

The length of the other base is 24 ft