two cross roads each of width 10m cut at right angles through the centre of a rectangular park of length 700m and breadth 300m and parallel to it's sides find the area of the roads and also the cost of constructing the roads at the rate of rs110per m square pls tell the answer exams are going on
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Step-by-step explanation:
Here, PQ=10m and PS=300m, EH=10m and EF=700m
And KL=10m and KN=10m
Area of roads = Area of PQRS+Area of EFGH−Area of KLMN
[∵ KLMN is taken twice, which is to be subtracted]
=PS×PQ+EF×EH−KL×KN
=(300×10)+(700×10)−(10×10)
=3000+7000−100
=9,900m
2
Area of road in hectares, 1m
2
=
10000
1
hectares
∴9,900m
2
=
10000
9900
=0.99 hectares
Now, Area of park excluding cross roads = Area of park−Area of road
=(AB×AD)−9,900
=(700×300)−9,900
=2,10,000−9,900
=2,00,100 m
2
=
10000
200100
hectares=20.01 hectares.
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