Question

A rooms length is 3 feet less than twice it's width. The area of the room is 135 square feet. What are the rooms dimensions?

Answer 1

A = L * W
A = 135
L = 2W - 3

135 = W(2W - 3)
135 = 2W^2 - 3W
-2W^2 + 3W + 135 = 0
(-2W - 15)(W - 9) = 0

-2W - 15 = 0
-2W = 15
W = -15/2....not this one because it is negative

W - 9 = 0
W = 9 <=== the width is 9 ft

L = 2W - 3
L = 2(9) - 3
L = 18 - 3
L = 15 <=== length is 15 ft