As we see in the figure, Let the length of the rectangle be a m and breadth of the rectangle be b m. According to problem, ⇒ a – b = 27 ----(1) And, 2(a + b) = 214 ⇒ a + b = 107 ----(2) From (1) and (2) we get, ⇒ a = 67 and b = 40 ∴ The area of the rectangle = 67 × 40 = 2680 m2