Length of the rectangle = x m. Breadth = x + 7 m. Perimeter of the rectangle = 2(l + b) ⇒ 2(x + x + 7) = 138 = 2(2x + 7) = 138 = 4x +14 = 138 4x = 138 −14 4x = 124 x =
124
4
= 31 Length = x = 31 m Breadth = x + 7 = 31 + 7 = 38 m. Area of the rectangle = l × b = 31 × 38 = 1,178 m2