Question
If both the length and breadth of a rectangle are
increased by 5 m, its area increases by 225 m². The ratio of the perimeters of the square and rectangle is 3:5. Find the side of the square.Solution
ATQ, Let length = x m, breadth = y m (x + 5)(y + 5) – xy = 225 ⇒ 5x + 5y + 25 = 225 ⇒ 5x + 5y = 200 ⇒ x + y = 40 Perimeter of rectangle = 2(x + y) = 80 m Perimeter of square = (3/5) × 80 = 48 m Side of square = 48 ÷ 4 = 12 m
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