Question

If costs ₹ $23550$ for ploughing a field at ₹ $2$ per square metre. Find the cost of fencing it at ₹ $1.20$ per metre if it is $150m$ long.

Answer 1

Step 1: Calculating total area of the field

If the area ploughed in ₹ $2$ = $1m^2$

Therefore, total area to be ploughed by ₹ $23550$ = $\frac{23550}{2}{m}^2$

= $11775m^2$.

Step 2: Finding width of the field

Since , Area of the field = Length $\times$ breadth

Here, Let the breadth of the field be$“b”$

and Length of the field = $150m$

Area of the field is $11775m^2$

Therefore, $150\times b=11775$

$b=\frac{11775}{150}$

$b=78.5m$

Step 4: Calculating the perimeter of the field

Now, the perimeter of the field = $2(Length+Breadth)$

= $2(150+78.5)$

= $457m$

Step 5: Calculating the Cost of fencing

Since, the cost of fencing $1m$ field boundary $=₹1.20$

Hence, Total cost of fencing $457m$ field boundary = ₹ $457\times 1.20$

= ₹ $548.40$

Hence, the cost of fencing of the rectangular plot is $₨548.40$.