The length of a rectangular photo is 3 cm less than twice its width. If the area of the photo is 104 square cm, Find the length and width of the photo.

A = L * W

A = 104

L = 2W - 3

104 = W (2W - 3)

104 = 2W^2 - 3W

2W^2 - 3W - 104 = 0

(2W + 13) (W - 8) = 0

2W + 13 = 0

2W = - 13

W = - 13/2 ... this will not work, extraneous solution

W - 8 = 0

W = 8 < = = width

L = 2W - 3

L = 2 (8) - 3

L = 16 - 3

L = 13 <===length