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There is a narrow rectangular plot, reserved for a school, in Mahuli village. The
length and breadth of the plot are in the r

By Caroline

There is a narrow rectangular plot, reserved for a school, in Mahuli village. The
length and breadth of the plot are in the ratio 11:4. At the rate 100 per metre it will
cost the village panchayat 75000 to fence the plot. What are the dimensions of
the plot?​

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Caroline

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2 thoughts on “There is a narrow rectangular plot, reserved for a school, in Mahuli village. The<br />length and breadth of the plot are in the r”

  1. Step-by-step explanation:

    Let the length and breadth’s common ratio: x in metre

    ∴ Length :11x and Breadth :4x

    Perimeter ⇒2(l+b)

    =2(11x+4x)=30x

    As per the question:

    Cost of fencing plot at rate of Rs.100 per meter is Rs.75000

    ∴100× Perimeter =75000

    3000x=75000

    x=25

    Length =11×x=11×25=275 m

    Breadth =4x,=4×25=100 m

    Reply

  2. Answer:

    Step-by-step explanation:

    Given :-

    Ratio of Length and Breadth = 11 : 4

    Cost of fencing = 75000

    To Find:-

    Dimensions of the plot.

    Formula to be used :-

    Perimeter of rectangular plot = 2(Length + Breadth)

    Solution :-

    Let the Length be 11x m.

    And the Breadth be 4x m.

    ⇒ Perimeter of rectangular plot = 2 (Length + Breadth)

    ⇒ Perimeter of rectangular plot = 2 (11x + 4x)

    ⇒ Perimeter of rectangular plot = 30x m

    Cost of fencing = Perimeter × Rate per meter

    ⇒ 75,000 = 30x × 1000

    ⇒ 75,000 = 3000x

    ⇒ 75000/3000 = x

    ⇒ 25 = x

    Length = 11x = 11 × 25 = 275 m

    Breadth = 4x = 4 × 25 = 100 m

    Hence, the dimensions of the plot are 275 m and 100 m.

    Reply

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