A rectangle has a length of 16 inches less than 8 times its width. If the area of the rectangle is 384 square inches, find the length of the rectangle.

Answer 1

L = 8w-16

A = L w

384 = (8w-16)w

384 = 8w^2 - 16w

8w^2 - 16w - 384 = 0

w^2 - 2w - 48 = 0

(w - 8 )(w + 6 ) = 0

w+6=0 results in negative measures

w-8=0 --- w = 8

width is 8, length is 8(8)-16 = 64-16 = 48

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