Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y, of the rectangular garden that she creates if one side is x feet long?A = lw

A rectangle’s perimeter is 2x + 2w, where x and w are its side lengths. Since the fencing gives a perimeter of 120 feet, 2x + 2w = 120, so the other side is w = 60 − x. The area is length times width, so y = x(60 − x), which is choice A.

AI-written and checked against the verified answer.