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# 6.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 of ₹ 100 per metre, it will cost the village panchayat ₹ 75000 to fence the plot. What are the dimensions of the plot?

Let the length and breadth of the plot be 11x m and 4x m respectively.
Fencing all around = perimeter of the rectangular plot

Perimeter of the plot = $$\frac { 75000 }{ 100 }$$ = 750 m

$$\Rightarrow$$2(11x + 4x) = 750

$$\Rightarrow$$2(15x) = 750

$$\Rightarrow$$ 30x = 750

$$\Rightarrow$$ x = 750 ÷ 30 = 25

Hence we have,

length =11x= 11 × 25 m = 275 m

and breadth = 4x=4 × 25 m = 100 m