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 Rs.100 per metre it will cost the village panchayat Rs. 75000 to fence the plot. What are the dimensions of the plot?
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Answers
Answered by
1
Step-by-step explanation:
Let the length and breadth's common ratio: xin 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
Answered by
1
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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