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?

Here is the process

is the answer correct? do let me know:-)

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