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    Question

    A rectangle has a perimeter of 160 cm. Its breadth is 40%

    less than its length. Calculate the area (in cm²) of a square whose side is 20 cm shorter than the length of the rectangle.
    A 840 cm² Correct Answer Incorrect Answer
    B 530 cm² Correct Answer Incorrect Answer
    C 725 cm² Correct Answer Incorrect Answer
    D 900 cm² Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the length of the rectangle be '5y' cm

    Breadth of the rectangle = (3/5) × 5y = '3y' cm

    So, 2 × (5y + 3y) = 160

    Or, 8y = 80

    Or, 'y' = 10

    Length of rectangle = 5 × 10 = 50 cm

    Side of the square = 50 - 20 = 30 cm

    Therefore, area of the square = (side)² = 30² = 900 cm²

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