SOLUTION: the area of a rug is 36 square feet. The length of the rug is 5 feet longer than the width. What is the width of the rug?

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Question 312533: the area of a rug is 36 square feet. The length of the rug is 5 feet longer than the width. What is the width of the rug?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
L=W+5
AREA=LW
36=(W+5)W
36=W^2+5W
W^2+5W-36=0
(W+9)(W-4)=0
W-4=0
W=4 ANS. FOR THE WIDTH.
L=4+5=9 ANS. FOR THE LENGTH.
PROOF:
36=4*9
36=36