Question

What is the area of this figure?

___ units^2

Answer 1

`42\ units^(2)`

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=(1)/(2)bh=(1)/(2)(2+5)(4-2)=7\ units^(2)`

Find the area of the bottom triangle

`A=(1)/(2)bh=(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)`