As we see in the figure, Let, side of the square = a cm. ∴ length of the rectangle = (a + 4) cm. Breadth of the rectangle = (a – 3) cm. According to problem, ⇒ a2 = (a + 4) (a – 3) ⇒ a2 = a2 + 4a – 3a – 12 ⇒ a =12 ∴ length of the rectangle = 12 + 4 = 16 cm. Breadth of the rectangle = 12 – 3 = 9 cm. ∴ Perimeter of the rectangle = 2 × (16 + 9) = 50 cm.