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    Question

    The ratio of the length to breadth of a rectangular

    playground is 7:5. If the cost of fencing the playground at the rate of Rs. 4 per metre is Rs. 1920, then find the area of the playground.
    A 10000 m² Correct Answer Incorrect Answer
    B 24000 m² Correct Answer Incorrect Answer
    C 14000 m² Correct Answer Incorrect Answer
    D 18000 m² Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the length and breadth of the playground be 7x metres and 5x metres respectively.

    According to the question,

    2(7x + 5x) = 1920 / 4

    ⇒ 2(12x) = 480

    ⇒ 24x = 480

    ⇒ x = 20 metres

    Therefore, area of the playground = 7x × 5x = 35x² = 35 × 400 = 14000 m²

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