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?

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

Here is the process

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