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 rs 100 per meter is will cost the village panchayat rupees 75000 of fence the plot . what are the dimensions of the plot? please answer it's urgent
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Hey mate....
Given cost the village panchayat rupees 75000 of fence the plot..
since in ₹100 1 m is fenced
hence in₹75000. 75000/100=750 m is fenced
{fencing process is held on perimeter}
perimeter=750m
now let's proportion ratio is x
dimensions raatio=11:4
perimeter =2* (11x + 4x). =750m
15x=750/2
or x = 375/15. =25
Dimensions of rectangular plot
hence length=11*25=275m
breadth=4*25=100m
Hope this will be right & helpful for u..
Given cost the village panchayat rupees 75000 of fence the plot..
since in ₹100 1 m is fenced
hence in₹75000. 75000/100=750 m is fenced
{fencing process is held on perimeter}
perimeter=750m
now let's proportion ratio is x
dimensions raatio=11:4
perimeter =2* (11x + 4x). =750m
15x=750/2
or x = 375/15. =25
Dimensions of rectangular plot
hence length=11*25=275m
breadth=4*25=100m
Hope this will be right & helpful for u..
Answered by
0
Answer:
Length=275 m
Breadth=100 m
Step-by-step explanation:
Given :-
- Ratio of Length and Breadth = 11 : 4
- Cost of fencing = 75000
To Find:-
Dimensions of the plot.
Solution :-
Length = 11x m.
Breadth = 4x m.
- Perimeter of rectangular plot = 2 (Length + Breadth)
- Perimeter of rectangular plot = 2 (11x + 4x)
- Perimeter of rectangular plot = 30x m
- Cost of fencing = Perimeter × Rate per meter
- 75,000 = 30x × 1000
- 75,000 = 3000x
- 75000/3000 = x
- 75/3=x
- 25 = x
- Length = 11 × 25 = 275 m
- Breadth = 4 × 25 = 100 m
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