The length of a rectangle is 4 cm longer than the width. if the perimeter of the rectangle is 20 centimeters, what is the area of the rectangle?

P=2 (w) + 2 (l)

length=x+4

width=x

2 (x) + 2 (x+4) = 20

use the distributive property

2x+2x+8=20

combine like terms

4x+8=20

subtract 8 from both sides

4x=12

divide both sides by 4 to isolate x

x=3

Length=x+4=3+4 = 7

Width = 3