Question

The area of a rectangular garden of length 40 m, is 1000 sqm. Find the breadth of the garden and its perimeter. The garden is to be enclosed by 3 rounds of fencing, leaving an entrance of 4 m. Find the cost of fencing the garden at a rate of 250 rupees per metre.

Answer 1

Length of the garden = 40 m
Area = 1000 sq m
$$\begin{gathered} \Rightarrow lb=1000 \\ \Rightarrow 40b=1000 \\ \Rightarrow \Rightarrow b=25\mathrm{m} \end{gathered}$$
Perimeter = $2\left(l+b\right)=2\left(40+25\right)=130\mathrm{m}$
For 1 round of fencing leaving the entrance of 4 m, the length of wire required = 130 m $-$ 4 m = 126 m
For 3 such rounds of fencing, $3\times 126\mathrm{m}=378\mathrm{m}$ of wire required.
Rate of fencing 1 m = Rs 250
Rate of fencing 378 m = $378\times 250=\mathrm{Rs}94500$
Thus, Rs 94500 is required for fencing the garden.