Question

A farmer has a rectangular field of length and breadth $240m$ and $180m$ respectively. He wants to fence it with $3$ rounds of rope. What is the total length of rope he must use?

Answer 1

Step 1: Find the perimeter of the rectangular field
Given that,
Length of the rectangular field $=240m$
Breadth of the rectangular field $=180m$
Let $P$ be the perimeter of the rectangular field, then

$\begin{array}{rcl}P& =& 2\times (\mathrm{length}+\mathrm{breadth})\\ & =& 2\times (240+180)\\ & =& 2\times 420\\ & =& 840m\end{array}$

Step 2: Finding total length of rope farmer must use to fence the field

Total length of rope farmer must use to fence the field$=3\times$ Perimeter of the field

$$\begin{gathered} =3\times P \\ =3\times 840 \\ =2520m \end{gathered}$$

Hence, the total length of rope farmer must use is $2520m$