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.
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
