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    The perimeter of the circular plot is twice the perimeter of a rectangular field whose length and breadth is x m and (x – 12) m, respectively. If the
    Question



    The perimeter of the circular plot is twice the perimeter of a rectangular field whose length and breadth is x m and (x – 12) m, respectively. If the area of the rectangle field is 1260 meter sq., then, find the cost(in Rs) of fencing of the circular plot at the rate of Rs. 5 per m.

    A.

    560

    B.

    600

    C.

    700

    D.

    1440

    E.

    800

    Correct option is D


    x(x-12)=1260
    x² - 12x – 1260 = 0
    x = 42, -30
    x = 42
    Perimeter of rectangular field = 2(42+30)= 144 m
    Perimeter of circular plot = 2 (144) = 288 m
    Required cost = 288×5 = Rs 1440

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