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Rd sharma solutions

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 leveling the path at the rate of Rs 8.25 per square meter.

Let PQRS be the rectangular grassy lawn and let length = AB and breadth = BC

Given Length AB = 40 m and breadth BC = 25 m

Area of lawn PQRS = 40 m x 25 m = 1000 m2

Length AB = (40 + 2 + 2) m = 44 m

Breadth BC = (25 + 2 + 2) m = 29 m

Area of ABCD = 44 m x 29 m = 1276 m2

Now, Area of the path = Area of ABCD – Area of the lawn PQRS

= 1276 m2 – 1000 m2

= 276 m2

Rate of levelling the path = Rs. 8.25 per m2

Cost of levelling the path = (8.25 x 276)

= Rs. 2277

Let PQRS be the rectangular grassy lawn and let length = AB and breadth = BC

Given Length AB = 40 m and breadth BC = 25 m

Area of lawn PQRS = 40 m x 25 m = 1000 m2

Length AB = (40 + 2 + 2) m = 44 m

Breadth BC = (25 + 2 + 2) m = 29 m

Area of ABCD = 44 m x 29 m = 1276 m2

Now, Area of the path = Area of ABCD – Area of the lawn PQRS

= 1276 m2 – 1000 m2

= 276 m2

Rate of levelling the path = Rs. 8.25 per m2

Cost of levelling the path = (8.25 x 276)

= Rs. 2277

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