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    Question

    The ratio of the breadth to the length of a rectangular

    field is 2:3. The total cost of cutting the grass of the field at the rate of Rs 6 per m2 is Rs. 11664. Find the cost of fencing the boundary of the field at the rate of Rs.18 per m. MT
    A Rs. 1650 Correct Answer Incorrect Answer
    B Rs. 2912 Correct Answer Incorrect Answer
    C Rs. 3240 Correct Answer Incorrect Answer
    D Rs. 3332 Correct Answer Incorrect Answer
    E Rs. 2400 Correct Answer Incorrect Answer

    Solution

    Let the length and breadth of the field is 2x and 3x respectively. Area of the field = 11664/6 = 1944 m2 So, (2x × 3x) = 1944 ⇒ x2 = 324 ⇒ x = 18 Therefore, the length of the field = 2x = 36 m And the breadth of the field = 3x = 54 m Required cost = 2 × (36 + 54) × 18 = Rs. 3240

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