Question

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

Answer 1

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`