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Question
The cost of fencing a square lawn at ₹ 14 per meter is ₹ 28000. Find the cost of mowing the lawn at ₹ 54 100 per `m^2`
Solution
Cost of fencing the lawn Rs` 28000`
Let lbe the length of each side of the lawn. Then, the perimeter is 4. l We know
`"Cost"= "Rate"xx "Perimeter"`
⇒`28000=14 xx41`
⇒` 28000=56l`
Or,` l=28000/56=500m`
Area of the square lawn=`500xx500=250000 m^2`
Cost of moving `100 m^2` of the lawn= `Rs 54`
Cost of moving `1m^2` of the lawn=Rs `54/100`
∴ Cost of moving `250000 m^2` of the lawn =` (250000xx54)/100`= `Rs 135000`
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