Question

What is the area of this figure? ___ units^2

Answer 1

Answer:

$42\ units^{2}$

Step-by-step explanation:

we know that

The area of the figure is equal to the area of a rectangle plus the area of two triangles

Find the area of rectangle

Observing the graph

The area of rectangle is equal to

$A=bh=(2+5)(2+2)=28\ units^{2}$

Find the area of the top triangle

$A=\frac{1}{2}bh=\frac{1}{2}(2+5)(4-2)=7\ units^{2}$

Find the area of the bottom triangle

$A=\frac{1}{2}bh=\frac{1}{2}(2+5)(-2+4)=7\ units^{2}$

the area of the figure is equal to

$A=28\ units^{2}+7\ units^{2}+7\ units^{2}=42\ units^{2}$