Question

A rectangular lawn 86.5 by 54.5 is constructed to path is 2.5 metre wide are cut across the middle one parallel to the length and the other parallel to the breadth find the area of path and cost of levelling one corner person at rupees 1.45 per square metre

Answer 1

Step-by-step explanation:

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Answer 2

The total area of road is 346.25 m² and leveling cost is 502.0625 rupees.

Step-by-step explanation:

Consider the provided information.

A rectangular lawn 86.5 by 54.5 is constructed to path is 2.5 metre wide

Length of the road parallel to length is 86.5m

breadth of the road parallel to length is 2.5m

Area of rectangle is: $A=Length \times breadth$

Area of road parallel to length = 86.5 × 2.55 = 216.25 m²

Now,

The Length of the road parallel to breadth is 2.5 m

Breadth of the road parallel to breadth is 54.5 m

Area of the road parallel to breadth = 54.5 × 2.5 = 136.25 m²

The Area of common portion = 2.5 × 2.5 = 6.25 m ²

Total area of roads = (216.25 + 136.25 – 6.25) m ²

Total area of roads  = 346.25 m²

cost of leveling one corner person at rupees 1.45 per square metre.

Total cost of leveling = 346.25 × 1.45 = 502.0625

Hence, the total area of road is 346.25 m² and leveling cost is 502.0625 rupees.

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