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Question

The cost of fencing a square lawn at Rs.14 per metre is Rs.28000. Find the cost of moving the lawn at Rs.54 per 100 m2.

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Solution

Cost of fencing the lawn = Rs 28000
Let l be the length of each side of the lawn. Then, the perimeter is 4l.
We know:

Cost=Rate × Perimeter

⇒28000=14 × 4l

⇒28000 = 56l

Or,
l equals 28000 over 56 equals 500 m

Area of the square lawn = 500 × 500 = 250000 m2
Cost of mowing 100 m2 of the lawn = Rs 54
Cost of mowing 1 m2​​​​​​​ of the lawn=Rs54 over 100

∴ Cost of mowing 250000 m2​​​​​​​ of the lawn=fraction numerator 250000 cross times 54 over denominator 100 end fraction=Rs 135000


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