there is. narrow rectangular plot reserved for a school in magam village the length and the breath of tha plot are in the ratio 11.4 at the rate with prr meter it will cost the village panchayat with 7500 to fence the plot what are the dimensions of the plot
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There is a narrow rectangul...
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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
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
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