Question

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?

• A. Length $=55$ m; breadth $=170$m
• B. Length $=195$ m; breadth $=200$m
• C. Length $=275$ m; breadth $=100$m
• D. Length $=325$ m; breadth $=50$m

Answer 1

The correct option is C Length $=275$ m; breadth $=100$m

Let the length and breadth of a rectangular plot be $11x$ and $4x$

Perimeter $=2(11x+4x)=30x$

Cost of fencing at Rs. $100$ per metre $=$ Rs. $75,000$ to fence the plot.

So, perimeter $=75000÷100=750$

So, $30x=750$

$x=25$

So, length $=11x=275$m

Breadth $=4x=100$ m