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Question
A 80 m by 64 m rectangular lawn has two roads, each 5 m wide, running through its middle, one parallel to its length and the other parallel to its breadth. Find the cost of gravelling the reads at ₹` 40 per m^2`
Solution
The length and breadth of the lawn are 80 m and 64 m, respectively. The layout of the roads is shown in the figure below:
Area of the road ABCD =`80xx5=400m^2`
Area of the road PQRS=`64xx5=320 m^2`
Clearly, the area EFGH is common in both the roads
Area EFGH =`5xx5=25m^2`
Area of the roads = `400+300-25`
=` 695m^2`
Given:
Cost of gravelling `1m^2` area
Cost of gravelling `695m^2` area =`695xx40`
=Rs `27,800`
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