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Mattress A is 20 inches longer than it is wide. Mattress B is 16 inches wider than mattress A but still has the same length. The area of mattress B is 1280  Square inches more than that of mattress A.

 

What equation can be used to determine the area of mattress B?

 

 Also determine the dimensions of mattresses B and mattress A. 

Guest Mar 23, 2018
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Let the width of Mattress A  = W
The length of Mattress A     = W + 20
The width of Mattress B      = W + 16
W x [W + 20] = [W + 16] x [W + 20] - 1280, solve for W

W^2 + 20 W + 1280 = W^2 + 36 W + 320
W = 60 inches - width of mattress A
60 + 20 = 80 inches - length od Mattress A
60 + 16 = 76 inches - width of Mattress B
60 + 20 = 80 inches - length of Mattress B

Guest Mar 23, 2018
edited by Guest  Mar 23, 2018

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