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?
Answers
Answer: length : 275 m , breadth : 100 m
Step-by-step explanation: 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
Hope you liked the answer buddy
Answer:
Let length of the plot is =11x
Let breadth of the plot is =4x
Rate of 1 meter=₹100
Total cost=₹75000
Area= Total cost
---------------------
Rate per meter
75000
= -------------
100
=750 meter.
According to question:-
2(11x+4x)=750 meter
2(15x)=750 meter
30x=750 meter
x=750
--------
30
x=25.
length=11x=11*25
=275 meter.
breadth=4x=4*25
=100 meter.
hope it helps you....
please mark it as a brainlist answer....
also please rate and follow me.....
stay home stay safe....