Question
If the length and breadth of a rectangle are each
increased by 4 m, its area increases by 224 m². The ratio of the perimeter of the square to that of the rectangle is 1:2. Find the side of the square.Solution
Let length = x m, breadth = y m (x + 4)(y + 4) – xy = 224 ⇒ 4x + 4y + 16 = 224 ⇒ 4x + 4y = 208 ⇒ x + y = 52 Perimeter of rectangle = 2(x + y) = 104 m Perimeter of square = (1/2) × 104 = 52 m Side of square = 52 ÷ 4 = 13 m
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