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    Question

    If each side of a rectangle is increased by 2 m, the

    area increases by 124 m². The ratio of perimeters (square : rectangle) is 4:5. Find the side of the square.
    A 12 m Correct Answer Incorrect Answer
    B 18 m Correct Answer Incorrect Answer
    C 24 m Correct Answer Incorrect Answer
    D 28 m Correct Answer Incorrect Answer

    Solution

    ATQ, Let length = x m, breadth = y m (x + 2)(y + 2) – xy = 124 ⇒ 2x + 2y + 4 = 124 ⇒ 2x + 2y = 120 ⇒ x + y = 60 Perimeter of rectangle = 2(x + y) = 120 m Perimeter of square = (4/5) × 120 = 96 m Side of square = 96 ÷ 4 = 24 m

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