The length of a rectangular suitcase is 7 inches longer than the width. the area of the suitcase is 144 squared inches.

A = LW

A = 144

L = W + 7

144 = W (W + 7)

144 = W^2 + 7W

W^2 + 7W - 144 = 0

(W - 9) (W + 16) = 0

W - 9 = 0

W = 9

W + 16 = 0

W = - 16 ... this is an extraneous solution and will not work

So W = 9

L = W + 7

L = 9 + 7

L = 16

so ur dimensions are : Length = 16 in. and Width = 9 in ... and area = (9 * 16) = 144 in^2