6. 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?
please answer my question
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A᭄nswer:-
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Step-by-step explanation:
Given:-
Q).There is a narrow rectangular plot, reserved for a school, in Mahuli village. Thelength and breadth of the plot are in the ratio 11:4. At the rate 100 per metre it willcost the village panchayat 75000 tofence the plot. What are the dimensions ofthe plot?
Solution:-
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 answer.
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