# There is a narrow rectangular plot,reserved for a school,in mahuli village.Thelenght and breadth of the plot are in the ratio 11:4 at the rate of Rs100 per meter it will cost the village panchayat Rs75000 to fence the plot.What are the dimensions of the plot!

Let the
common ratio between the length and breadth of the rectangular plot
be *x*. Hence, the length and breadth of the rectangular plot
will be 11*x* m and 4*x* m respectively.

Perimeter of the plot = 2(Length + Breadth)

It is given that the cost of fencing the plot at the rate of Rs 100 per metre is Rs 75, 000.

∴ 100 × Perimeter = 75000

100 ×
30*x* = 75000

3000*x*
= 75000

Dividing both sides by 3000, we obtain

*x* =
25

Length =
11*x* m = (11 × 25) m = 275 m

Breadth =
4*x* m = (4 × 25) m = 100 m

Hence, the dimensions of the plot are 275 m and 100 m respectively.

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