The Davidson family wants to expand its rectangular patio, which currently measures 15 feet by 12 feet They want to extend the length and width the same amount to increase the total area of the patio by 160 ft squared Which quadratic equation best models the situation? cap A is equal to l w

Let x be the number of feet added to both the length and width. The new dimensions are 15 + x feet and 12 + x feet, so the new area is (15 + x)(12 + x). The area increases by 160 square feet, making the new area equal to the original area, 15 × 12, plus 160. Thus choice D, (15 + x)(12 + x) = 15 × 12 + 160, models the situation.

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