Question

there is a narrow rectangular plot reserved for a school in a village. the length and breadth of the plot are in the ratio 11:4. @ rupees hundred per metre it will cost the village panchayat rupees 75000 to fence the plot . what are the dimensions of the plot question mark






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Asked on October 15, 2019 by

Pulipati Mahlawat

There is a narrow rectangular plot, reserved for a school, in mahuli village. The length and breadth of plot are in ratio 11:4. At the rate Rs100 per metre will cost the village panchayat Rs75,000 to fence the plot. What are dimensions of plot

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ANSWER

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