Question:
The cost of levelling and turfing a square lawn at Rs 2.50 per m2 is Rs 13322.50. Find the cost of fencing it at Rs 5 per metre.
Solution:
First, we have to find the area of the square lawn, which the total cost divided by the cost of levelling and turfing per square metre:
Area of a square $=\frac{13322.5}{2.5}=5329 \mathrm{~m}^{2}$
The length of one side of the square is equal to the square root of the area. We will use the long division method to find it as shown below:
$\therefore$ Length of one side of the square $=73 \mathrm{~m}$
The circumference of the square is $73 \times 4=292 \mathrm{~m}$
$\therefore$ Total cost of fencing the lawn at Rs. 5 per metre $=292 \times 5=$ Rs. 1460