Question

Mr Sandeep Kalra is a social worker. He always works for the welfare of his village. In his village there was no school building. Sandeep gave a plot of land for school building. The length and breadth of the plot are in the ratio $10:3$. He also donated $Rs15,600$ to fence the plot at $Rs50perm$.
(i) Find the dimensions of the plot.
(ii) Find the area of the plot.
(iii) Which value does Mr Sandeep depict?

Answer 1

Let length $l$ of plot

breadth $=\frac{3l}{10}$

Perimeter (fence)$=2(i+\frac{3l}{10})=\frac{26l}{10}m$

Cost for fencing $=\frac{26l}{10}\times 50=15600$

$\Rightarrow$ $l=120m$

$\Rightarrow$ $b=\frac{3}{10}\times 120=36m$

Area$=lb=4320m^2$

Sandeep seems a very kind person thinking about the welfare of his village.