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    Question

    The cost of fencing a rectangular field at the rate of

    Rs. 14/metre is Rs. 1176. If the ratio of length to breadth is 4:3, find the area of the rectangular field.
    A 432 sq m Correct Answer Incorrect Answer
    B 420 sq m Correct Answer Incorrect Answer
    C 448 sq m Correct Answer Incorrect Answer
    D 400 sq m Correct Answer Incorrect Answer

    Solution

    Let the length and breadth be 4x metres and 3x metres respectively.
    According to the question,
    2 × (4x + 3x) = 1176 / 14
    Or, 2 × 7x = 84
    Or, 14x = 84
    Or, x = 6 metres
    Therefore, area = 4x × 3x = 12x² = 12 × 36 = 432 m²

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