A rectangular grassy lawn measuring 40 m by 25 m is to be surrounded externally by a path which is 2 m wide. Calculate the cost of levelling the path at the rate of Rs 8.25 per square metre.

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Solution

We have,
Length AB = 40 m and breadth BC = 25 m

∴ Area of lawn ABCD = 40 m x 25 m = 1000 m²

Length PQ = (40 + 2 + 2 ) m = 44 m
Breadth QR = ( 25 + 2 + 2 ) m = 29 m
∴ Area of PQRS = 44 m x 29 m = 1276 m²
Now,
Area of the path = Area of PQRS − Area of the lawn ABCD
= 1276 m²− 1000 m²
= 276 m²
Rate of levelling the path = Rs. 8.25 per m²
∴ Cost of levelling the path = Rs. ( 8.25 x 276)
= Rs. 2277

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