Question

Question 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 Rs100per meter it will cost the village panchayat Rs75, 000 to fence the plot. What are the dimensions of the plot?

Answer 1

Let the length and breadth of the rectangular plot be11xand4xrespectively.
Perimeter of the plot
$=\frac{Totalcost}{Costof1meter}=\frac{75000}{100}=750m$
We know that Perimeter of rectangle = 2(length+ breadth)
Therefore, according to the question,
$750=2(11x+4x)\Rightarrow 750=2\times 15x$
$\Rightarrow 750=30x\Rightarrow 30x=750$
$\Rightarrow x=\frac{750}{30}=25$
Hence,length of rectangular plot =$11\times 25=275m$ and breadth of rectangular plot = $4\times 25=100m$
Hence, the dimensions of the plot are 275 m and 100m respectively