SOLUTION: The length of a rectangle is 6 cm less than twice its width. Find the dimensions of the rectangle if its area is 108 cm.

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Question 276204: The length of a rectangle is 6 cm less than twice its width. Find the dimensions of the rectangle if its area is 108 cm.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
LW=108
L=2W-6
(2W-6)W=108
2W^2-6W=108
2W^2-6W-108=0
2(W^2-3W-54)=0
2(W-9)(W+6)=0
W-9=0
W=9 ANS
L=2*9-6
L=18-6
L=12 ANS.
PROOF:
9*12=108
108=108