Q. 64.4( 151 Votes )

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

Answer :

Since, The ratio given is 11 : 4
Let the length and breadth of the plot be l = 11x and b = 4x respectively.

Since the plot is of rectangular shape and we know  the perimeter of a rectangle is 2(l + b)

Also, rate of fencing the plot is Rs 100 for 1m

Now,

Perimeter of Rectangular plot = 2(l + b) = 2(11x + 4x)

Perimeter of rectangular plot =  2(15 x) = 30x

Cost of fencing one meter = Rs. 100

Therefore cost of fencing 30x m = 30 x × 100 = 75000

3000x = 75000

x = 25

Thus, the length = 11 x (25) = 275 m

And the breadth = 4 x (25) = 100 m

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