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Question

The cost of levelling a square lawn at Rs 15 per square metre is Rs 19,935.Find the cost of fencing the lawn at Rs 22 per metre.

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Solution

Total cost of leveling the square lawn at Rs. 15 per square meter = Rs. 19935

Area of the lawn = Total cost/Cost per square meter
= 19935/15
Area of the square lawn = 1329 Sq m

Area of the square = Side*Side
So, each side of the square = √1329

Each side of the square lawn = 36.45 m

Now,
Perimeter of the square lawn = 4*Side
Perimeter=4×36.45
Perimeter of the square lawn =145.8 m

Cost of fencing the square lawn = Rs. 22 per meter
Total cost of fencing the square lawn = 145.8×22
=Rs.3207.6
So, total cost of fencing the square lawn is Rs. 3207.6



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