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    Question

     A path of width 3 m is made outside and around a

    rectangular field of perimeter 210 m. If the length of the field is 50% more than its breadth, then find the cost of paving the path at Rs. 15 per m².
    A Rs.8990 Correct Answer Incorrect Answer
    B Rs.9990 Correct Answer Incorrect Answer
    C Rs.8590 Correct Answer Incorrect Answer
    D Rs.6090 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let, breadth of the field be ‘x’ m. So, the length of the field = ‘1.5x’ m. Therefore, 2 × (x + 1.5x) = 210 2.5x = 105 x = 42 Therefore, the breadth of the field = x = 42 metres. Length of the field = 1.5x = 63 metres. So, the area of the path = (69 × 48) – (42 × 63) = 3312 – 2646 = 666 m². Required cost = 666 × 15 = Rs.9990

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