Question

    The cost of fencing a rectangular plot at the rate of

    Rs. 12/metre is Rs. 960. If the ratio of the length to breadth is 5:3, find the area of the rectangular plot.
    A 400 sq m Correct Answer Incorrect Answer
    B 375 sq m Correct Answer Incorrect Answer
    C 350 sq m Correct Answer Incorrect Answer
    D 300 sq m Correct Answer Incorrect Answer

    Solution

    Let the length and breadth be 5x metres and 3x metres respectively.
    According to the question,
    2 × (5x + 3x) = 960 / 12
    Or, 2 × 8x = 80
    Or, 16x = 80
    Or, x = 5 metres
    Therefore, area of the rectangular plot = 5x × 3x = 15x² = 15 × 25 = 375 m²

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