hannakeunoorot
hannakeunoorot hannakeunoorot
  • 12-09-2016
  • Mathematics
contestada

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

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texaschic101
texaschic101 texaschic101
  • 12-09-2016
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
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