Question

Find the cost of cultivating a rectangular field $35m$ long and $18m$ wide at $₹20persquaremetre.$ Also, find the cost of fencing the field at $₹15permetre.$

Answer 1

The length of the rectangular field $\left(l\right)=35m$

The breadth of the rectangular field $\left(b\right)=18m$

Step 1: Find the area of the rectangular field and the cost of cultivation of a rectangular field.

The area of the rectangular field $=l\times b$

$$\begin{gathered} =35\times 18 \\ =630sq.m \end{gathered}$$

The cost of the cultivating a rectangular field per square meter $=₹20$

So, the total cost of the cultivating a rectangular field $=₹20\times 630$

$=₹12,600$

Step 2: Find the total cost of fencing the rectangular field.

The perimeter of the rectangular field $=2\times \left(l+b\right)$

$$\begin{gathered} =2\times \left(35+18\right) \\ =2\times 53 \\ =106m \end{gathered}$$

The cost of fencing the field per $m=₹15$

The total cost of the fencing$=₹15\times 106$

$=₹1,590$

Hence, the total cost of the cultivating a rectangular field is $₹12,600$ and the total cost of the fencing the rectangular field is $₹1,590.$