Question

If two opposite sides of a square are increased by 13 meters and the other sides are decreased by 7 meters, the area of the rectangle that is formed is 69 square meters. Find the area of the original square.

Answer 1

(x + 13)(x - 7) = 69

x² + 6x - 91 = 69

x² + 6x - 160 = 0

(x + 16)(x - 10) = 0

x = 10, so the area of the original square is 100 m².