Question

    The perimeter of a rectangle is

    64 meters, and the ratio of its length to its breadth is 9:7. What is the area of the rectangle?
    A 200 m² Correct Answer Incorrect Answer
    B 252 m² Correct Answer Incorrect Answer
    C 225 m² Correct Answer Incorrect Answer
    D 265 m² Correct Answer Incorrect Answer

    Solution

    ATQ, Let the length and breadth of the rectangle be 9p metres and 7p metres Then, perimeter of the rectangle = 2 × (length + breadth) = 2 × (9p + 7p) = 64 Or, 32p = 64 So, p = (64/32) = 2 Therefore, area of the rectangle = length × breadth = 9p × 7p = 18 × 14 = 252 m2

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