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The cost of fencing a square lawn at ₹ 14 per metre is ₹ 2800. Find the cost of mowing the lawn at ₹ 54 per 100 m^2.

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Question

The cost of fencing a square lawn at ₹ 14 per metre is ₹ 2800. Find the cost of mowing the lawn at ₹ 54 per 100 m2.

Sum
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Solution

Given:

Cost of fencing = ₹ 14 per metre; Total fencing cost = ₹ 2800.

Cost of mowing = ₹ 54 per 100 m2.

Step-wise calculation:

1. Perimeter of square = Total fencing cost ÷ Rate

= 2800 ÷ 14

= 200 m

2. Side of square = Perimeter ÷ 4

= 200 ÷ 4

= 50 m

3. Area of square = side2 

= 502

= 2500 m2

4. Number of 100 m2 units

= 2500 ÷ 100

= 25

5. Cost of mowing = 25 × 54

= ₹ 1350

The cost of mowing the lawn is ₹ 1350.

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Chapter 15: Perimeter And Area of Plane Figures - TEST YOURSELF [Page 702]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 15 Perimeter And Area of Plane Figures
TEST YOURSELF | Q 15. | Page 702
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