Question

Find the area of the trapezoid.

Answer 1

Answer:

$\large\boxed{A=54\ m^2}$

Step-by-step explanation:

The formula of an area of a trapezoid:

$A=\dfrac{b_1+b_2}{2}\cdor h$

b₁, b₂ - bases

h - height

We must use the Pythagorean theorem:

$x^2+8^2=10^2$

$x^2+64=100$              subtract 64 from both sides

$x^2=36\to x=\sqrt{36}\\\\x=6\ m$

We have b₁ = 6 + 6 = 12m, b₂ = 6m and h = 8m.

Substitute:

$A=\dfrac{12+6}{2}\cdot6=\dfrac{18}{2}\cdot6=(9)(6)=54\ m^2$