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

Answer:

The height is 10 m

Step-by-step explanation:

Area of a trapezoid is given by

$A = \frac{1}{2} (a + b)h$

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

$135 = \frac{1}{2} (20 + 7)h \\ 135 = \frac{1}{2} \times 27h \\ 135 \times 2 = 2 \times \frac{1}{2} \times 27h \\ 270 = 27h$

Divide both sides by 27

That's

$\frac{27h}{27} = \frac{270}{27}$

We have the final answer as

10 m

Hope this helps you