Question

Find the area of the figure

Answer 1

Answer:

A = 252

Step-by-step explanation:

It's a trapezoid.

The formula of an area of a trapezoid:

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

b₁, b₂ - bases

h - height

(look at the picture)

Use the Pythagorean theorem to calculate the length x:

$x^2+12^2=15^2$

$x^2+144=225$            subtract 144 from both sides

$x^2=81\to x=\sqrt{81}\\\\x=9$

Substitute:

$b_1=9+12+9=30\\b_2=12\\h=12$

[tex]A=\dfrac{30+12}{2}\cdot12=(42)(6)=252[/txt]