SOLUTION: The length of a rectangular piece of carpet is 5 meters less than twice its width. Find the dimensions of the carpet if the area is 33 square meters.

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Question 725285: The length of a rectangular piece of carpet is 5 meters less than twice its width. Find the dimensions of the carpet if the area is 33 square meters.
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
AREA=LW
L=2W-5
33=(2W-5)W
33=2W^2-5W
2W^2-5W+33=0
(2W-11)(W+3)=0
2W-11=0
2W=11
W=11/2
W=5.5 ANS. FOR THE WIDTH.
L=2*5.5-5
L=11-5
L=6 ANS.
PROOF:
33=6*5.5
33=33