Question
When both length and breadth of a rectangle are
increased by 3 m, the area rises by 189 m². The ratio of perimeters (square : rectangle) is 5:6. Find the side of the square.Solution
ATQ, Let length = x m, breadth = y m (x + 3)(y + 3) – xy = 189 ⇒ 3x + 3y + 9 = 189 ⇒ 3x + 3y = 180 ⇒ x + y = 60 Perimeter of rectangle = 2(x + y) = 120 m Perimeter of square = (5/6) × 120 = 100 m Side of square = 100 ÷ 4 = 25 m
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