# The length of a rectangle is 2 cm more than twice its width. If the perimeter of the rectangle is 52 cm, how do you find the area?

Sep 12, 2015

$144 c {m}^{2}$

#### Explanation:

Let width be x so that length is 2x+2.

Perimeter would be 2(x+2x+2)

= 6x+4 =52

That makes 6x=48, or x= 8

Now width is 4, so length is 18. Area would be $144 c {m}^{2}$