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

#1**+1 **

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