The length of a rectangle exceeds its width by 12 inches, and the area is 85 square inches. What are the length and width of the rectangle?
Set Up:
Length = L
Width = W
L = W + 12
Area = LW
Simplify:
W(W+12) = 85
W2 + 12W - 85 = 0
Factor:
(W + 17)(W - 5) = 0
Solve:
W = -17 or W = 5
I will leave the rest up to you. (Hint: lengths can't be negative.)