SOLUTION: 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?

Algebra ->  Rectangles -> SOLUTION: 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?       Log On


   

Question 281071: 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?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
L=W+4
2L+2W=20
2(W+4)+2W=20
2W+8+2W=20
4W=20-8
4W=12
W=12/4
W=3 ANS. FOR THE WIDTH.
L=3+4=7 ANS. FOR THE LENGTH.
PROOF:
2*7+2*3=20
14+6=20
20=20