MathematicsThe cost of cultivating a rectangular field at ₹ 35 per square meter is ₹ 71400. If the width of the field is 40 m, its cost of fencing the field at ₹ 50 per meter is ₹ ____.

The cost of cultivating a rectangular field at ₹ 35 per square meter is ₹ 71400. If the width of the field is 40 m, its cost of fencing the field at ₹ 50 per meter is ₹ ____.


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    Solution:

    The cost of cultivating a rectangular field at ₹ 35 per square meter is ₹ 71400. If the width of the field is 40 m, it’s cost of fencing the field at ₹ 50 per meter is ₹ 9100.
    Given the cost of cultivating a rectangular field at ₹ 35 per square meter is ₹ 71400.
    Area of field is,
    = 71400 35 =2040 m 2   Now, area of rectangle is length×breadth  .
    Let the length = x.
    Equating both areas,
    x×40=2040 x= 2040 40 x=51m   Perimeter of the field is,
    = 2(length + breadth)
    = 2(51 + 40)
    = 2(91)
    = 182m
    Cost of fencing is,
    = 50×182   = ₹ 9100
    Cost of fencing is ₹ 9100.
     
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