The Davidson family wants to expand its rectangular patio, which currently measures 15 ft by 12 ft. They want to extend the length and width the same amount to increase the total area of the patio by 160 ft2. Which quadratic equation best models the situation?A = lw

Let x be the amount added to both the patio’s length and width. The new dimensions are 15 + x feet and 12 + x feet, so the new area is (15 + x)(12 + x). An increase of 160 square feet means this area equals the original area, (15)(12), plus 160. Thus, choice D best models the situation.

AI-written and checked against the verified answer.