Answer:
The height is 10 m
Step-by-step explanation:
Area of a trapezoid is given by
[tex]A = \frac{1}{2} (a + b)h[/tex]
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
[tex]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[/tex]
Divide both sides by 27
That's
[tex] \frac{27h}{27} = \frac{270}{27} [/tex]
We have the final answer as
10 m
Hope this helps you
