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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.

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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:

textrm{Area of a square} = frac{13322.5}{2.5} = 5329textrm{ 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:

Length of one side of the square = 73 m
The circumference of the square is 73 × 4 = 292 m
Total cost of fencing the lawn at Rs. 5 per metre = 292 × 5 = Rs. 1460

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