SOLUTION: a rectangle is twice as long as it is wide. if both its dimensions are are increased by 4m, its area is increased by 88 m squared. find dimensions of original rectangle.
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Question 174031: a rectangle is twice as long as it is wide. if both its dimensions are are increased by 4m, its area is increased by 88 m squared. find dimensions of original rectangle. Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website! L=2W
AREA=LW
88=(L+4)(W+4)-LW
88=(2W+4)(W+4)-2W*W
88=2W^2+12W+16-2W^2
88=12W=16
12W=88-16
12W=72
W=72/12
W=6M.
L=2*6=12M.
PROOF:
88=(12+4)(6+4)-12*6
88=16*10-72
88=160-72
88=88
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