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    Question

    The ratio of length to breadth of a rectangle is 5:4,

    respectively. Perimeter of rectangle is 162 cm. If each side of a square is 25% more than the breadth of rectangle, then find the difference between perimeters of the square and the rectangle.
    A 12 cm Correct Answer Incorrect Answer
    B 16 cm Correct Answer Incorrect Answer
    C 20 cm Correct Answer Incorrect Answer
    D 18 cm Correct Answer Incorrect Answer

    Solution

    Let the length and breadth of the rectangle be 5x cm and 4x cm, respectively According to the question, 2 × (5x + 4x) = 162 Or, x = 81/9 = 9 Therefore, each side of the square = 1.25 × 4x = 45 cm Perimeter of the square = 4 × 45 = 180 cm Required difference = 180 – 162 = 18 cm

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