Question 312114: 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? Found 2 solutions by checkley77, nerdybill:Answer by checkley77(12844) (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=9*4
36=36
You can put this solution on YOUR website! 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?
.
width*length = area
Let w = width
then
w+5 = length
.
w(w+5) = 36
w^2+5w = 36
w^2+5w-36 = 0
(w+9)(w-4) = 0
w = {-9, 4}
Toss out the negative solution leaving:
w = 4 feet
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