Question

    The rectangular park has a length-to-breadth ratio of

    8:7. Its perimeter exceeds the perimeter of a square-shaped park by 40 meters. The side length of the square park is 4 meters less than the breadth of the rectangular park. Determine the area of the rectangular park.
    A 8585 Correct Answer Incorrect Answer
    B 5214 Correct Answer Incorrect Answer
    C 8064 Correct Answer Incorrect Answer
    D 9865 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    Let, length and breadth of the rectangular park be ‘8y’ m and ‘7y’ m, respectively. So, 2 × (8y + 7y) – 4 × (7y – 4) = 40 30y – 28y + 16 = 40 2y = 24 y = 12 Therefore, area of rectangular park = 56y2 = 8064 m2

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