Question

    The cost of fencing a rectangular garden at Rs. 10/metre

    is Rs. 1000. If the ratio of the length to breadth is 3:2, find the area of the garden.
    A 500 sq m Correct Answer Incorrect Answer
    B 550 sq m Correct Answer Incorrect Answer
    C 600 sq m Correct Answer Incorrect Answer
    D 650 sq m Correct Answer Incorrect Answer

    Solution

    Let the length and breadth be 3x metres and 2x metres respectively.
    According to the question,
    2 × (3x + 2x) = 1000 / 10
    Or, 2 × 5x = 100
    Or, 10x = 100
    Or, x = 10 metres
    Therefore, area = 3x × 2x = 6x² = 6 × 100 = 600 m²

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