SOLUTION: The width of a rectangle is 6 kilometers less than twice it's length. If it's area is 176 square kilometers, find the dimensions of the rectangle.

SOLUTION: The width of a rectangle is 6 kilometers less than twice it's length. If it's area is 176 square kilometers, find the dimensions of the rectangle.

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Question 195436: The width of a rectangle is 6 kilometers less than twice it's length. If it's area is 176 square kilometers, find the dimensions of the rectangle.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
W=2L-6
AREA=WL
176=(2L-6)L
176=2L^2-6L
2L^2-6L-176=0
2(L^2-3L-88)=0
2(L-11)(L+8)=0
L-11=0
L=11 ANS. FOR THE LENGTH.
W=2*11-6
W=22-6
W=16 ANS.
PROOF:
176=11*16
176=176
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