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The length of a rectangle is 4 inches less than twice its width. if the area of the rectangle is 70 square inches, what are its dimensions?

User Crxyz
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2 Answers

6 votes
here is the process
is the answer correct? do let me know:-)
The length of a rectangle is 4 inches less than twice its width. if the area of the-example-1
User Igor Labutin
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1 vote
A = L * W
L = 2W - 4
A = 70

70 = W(2W - 4)
70 = 2W^2 - 4W
2w^2 - 4W - 70 = 0
2(W + 5)(W - 7) = 0

W + 5 = 0
W = -5....extraneous solution...does not work

W - 7 = 0
W = 7

L = 2W - 4
L = 2(7) - 4
L = 14 - 4
L = 10

so the length (L) = 10 inches and the width (W) = 7 inches