There is a narrow rectangular plot,reserved for a school, in Mahuli village. The length and breadth of the plot are in ratio 11:4. At the rate rs100 per meter it will cost the village panchayat rs75000 to fence the plot. what are the dimension of the plot
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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
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