Answer:
[tex]42\ units^{2}[/tex]
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
[tex]A=bh=(2+5)(2+2)=28\ units^{2}[/tex]
Find the area of the top triangle
[tex]A=\frac{1}{2}bh=\frac{1}{2}(2+5)(4-2)=7\ units^{2}[/tex]
Find the area of the bottom triangle
[tex]A=\frac{1}{2}bh=\frac{1}{2}(2+5)(-2+4)=7\ units^{2}[/tex]
the area of the figure is equal to
[tex]A=28\ units^{2}+7\ units^{2}+7\ units^{2}=42\ units^{2}[/tex]
