A rectangular lawn 75 m by 60 m, has two roads 4 m wide each running through the middle of the lawn one parallel to the length and other parallel to the breadth as shown in figure. Find the cost of gravelling the roads at Rs. 4.50 per sq m.
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The area of the road parallel to the length of the lawn
=4m × 75m
=300m^2
The area of the road parallel to the breadth of the lawn
= 4m × 60m
= 240m^2
The overlapping area at the cross section of the roads
=4m × 4m
=16 m^2
The total area of the road
= {(300 + 240)- 16} m^2
= 524m^2
Rate of gravelling the road
= Rs. 4.5 / m^2
Total cost = Rs. ( 524 × 4.5)
= Rs. 2358
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