One side of a rectangle is 5 inches longer than the other. The area of the rectangle is 66 square inches. Find the dimensions of the rectangle. Answer in exact form.

Answer 1

6 by 11 inches

L=5+W

A= 66= LW = (5+W)W = 5W + W^2

W^2 + 5W -66 = 0

(W+11)(W-6) = 0

W = 6 inches

L= 5+6 = 11 inches

generally ignore the negative solution W=-11 and L=-6. They do multiply to 66 square inches, and one is 5 more than the other, but unless you're in an alternative universe, they don't make sense.