SOLUTION: The perimeter of a rectangle is 44 inches and its area is 112 square inches. Find the length and width of the retangel.

Algebra ->  Algebra  -> Rectangles -> SOLUTION: The perimeter of a rectangle is 44 inches and its area is 112 square inches. Find the length and width of the retangel.      Log On

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Question 210727This question is from textbook
: The perimeter of a rectangle is 44 inches and its area is 112 square inches. Find the length and width of the retangel.This question is from textbook

Answer by stanbon(48545) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter of a rectangle is 44 inches and its area is 112 square inches. Find the length and width of the rectangel.
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Area = LW = 112
L = 112/W
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Perimeter = 2(L+W)
44 = 2((112/W) + W)
22 = (112/W) + W
W^2 - 22W + 112 = 0
(W-14)(W-8) = 0
If W = 14, L= 8.
If W = 8, L = 14
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Cheers,
Stan H.