Question

what is the height of a trapezoid with one base equal to 20m, the other base equal to 7m, and an area of 135m^2

Answer 1

The height is 10 m

Explanation:

Area of a trapezoid is given by

`A = (1)/(2) (a + b)h`

where

a and b are the bases

h is the height

From the question

A = 135 m²

a = 20m

b = 7 m

Substitute the values into the above formula and solve for the height

That's

`135 = (1)/(2) (20 + 7)h \\ 135 = (1)/(2) * 27h \\ 135 * 2 = 2 * (1)/(2) * 27h \\ 270 = 27h`

Divide both sides by 27

That's

`(27h)/(27) = (270)/(27)`

We have the final answer as

10 m

Hope this helps you