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 Rs100 per metre it will cost the village panchayat Rs 75000 to fence the plot. What are the dimensions of the plot?

Question

Philoid · Accepted Answer

Let the length and breadth of the plot be l = 11x and b = 4x respectively.

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

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

Now, 2(l + b)

= 2(11x + 4x)

= 2(15x) = 30x

Therefore cost of fencing 30x m will be,

30x * 100 = 75000

3000x = 75000

x = 25

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

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