Question

Find the length of the altitude.

Answer 1

Area of a trapezoid :

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

The measures given are trapezoid

Area = 135

base 1 = 22

base 2 = 8

`135 = (22 + 8)/(2) h \\ \\135 = (30)/(2) h \\ 2(135) = ( 2)(30)/(2) h \\ 270 = 30h \\ (270)/(30 ) = (30h)/(30) \\ 9 = h`

Explanation:

We can check if the answer is right

`(22 + 8)/(2) * 9 \\ (30)/(2) * 9 \\ 15 * 9 = 135`

Answer 2

`135 = (22 + 8)/(2) * h \\ 135 = (30)/(2) * h \\ 135 = 15 * h \\ h = (135)/(15) \\ h = (27)/(3) = 9cm`