The cost of levelling a square lawn at 15 rupees per square metre is 20535 .Find the cost of fencing the lawn at 22 per metre.
Answers
Solution!!
The cost of levelling a square lawn is given. We are asked to find the cost of fencing the square lawn at Rs 22 per metre.
The levelling is done in the lawn so we can calculate the area. We will calculate the side of the square lawn after calculating the area of it. The fencing is done on the borders so we can easily find out the perimeter and then the cost of fencing.
Cost of levelling 1 m² = Rs 15
Area levelled for Rs 20535 = 20535 ÷ 15
Area levelled = 1369 m²
Area of the square lawn = 1369 m²
Area = (Side)²
1369 m² = (Side)²
Side = √(1369 m²)
Side = 37 m
Side of the square lawn = 37 m
Perimeter = 4 × Side
Perimeter = 4 × 37 m
Perimeter = 148 m
Perimeter of the square lawn = 148 m
Cost of fencing per metre = Rs 22
Cost of fencing 148 m = Rs 22 × 148
Cost of fencing 148 m = Rs 3256
Cost of fencing the lawn = Rs 3256