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Question -

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 тВ╣100 per metre it will cost the village panchayat тВ╣75000 to fence the plot. What are the dimensions of the plot?



Answer -

Let the length of the rectangular plot be 11x and breadth be 4x.
Rate of fencing per metre = тВ╣100
Total cost of fencing = тВ╣75000
Perimeter of the plot = 2(l+b) = 2(11x + 4x) = 2├Ч15x = 30x
Total amount of fencing = (30x ├Ч 100)
According to the question,
(30x ├Ч 100) = 75000
тЗТ 3000x = 75000
тЗТ x = 75000/3000
тЗТ x = 25
Length of the plot = 11x = 11 ├Ч 25 = 275m
Breadth of the plot = 4 ├Ч 25 = 100m.

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