Question

There is a narrow rectangular plot, reserved for a school, in mahuli village. The length and breadth of plot are in ratio $11:4$. At the rate $Rs100$ per metre will cost the village panchayat $Rs75,000$ to fence the plot. What are dimensions of plot

Answer 1

Let the length and breadth's common ratio: $x$ in metre
$\therefore$ Length $:11x$ and Breadth $:4x$
Perimeter $\Rightarrow 2(l+b)$
$=2(11x+4x)=30x$
As per the question:
Cost of fencing plot at rate of $Rs.100$ per meter is $Rs.75000$
$\therefore 100\times$ Perimeter $=75000$
$3000x=75000$
$x=25$
Length $=11\times x=11\times 25=275m$
Breadth $=4x,=4\times 25=100m$