Question
If the length and breadth of a rectangle are increased
by 8 m each, its area increases by 544 m². The ratio of the perimeter of the square to that of the rectangle is 2:3. Find the side of the square.Solution
Let length = x m, breadth = y m (x + 8)(y + 8) – xy = 544 ⇒ 8x + 8y + 64 = 544 ⇒ 8x + 8y = 480 ⇒ x + y = 60 Perimeter of rectangle = 2(x + y) = 120 m Perimeter of square = (2/3) × 120 = 80 m Side of square = 80 ÷ 4 = 20 m
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