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 roads at Rs 40 per m2.
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 $A B C D=80 \times 5=400 \mathrm{~m}^{2}$
Area of the road $P Q R S=64 \times 5=320 \mathrm{~m}^{2}$
Clearly, the area EFGH is common in both the roads.
Area EFGH $=5 \times 5=25 \mathrm{~m}^{2}$
Area of the roads $=400+320-25$
$=695 \mathrm{~m}^{2}$
Given:
Cost of gravelling 1 m2 area = Rs 40
$\therefore$ Cost of gravelling $695 \mathrm{~m}^{2}$ area $=695 \times 40$
= Rs 27,800
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