Two cross roads, each of width 10 m, cut at right angles through the centre of a rectangular park of length
700 m and breadth 300 m and parallel to its sides. Find the area of the roads. Also find the area of the park
excluding cross roads.
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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 its sides. Find the area of the roads. Also find the area of the park excluding cross roads. Give the answer in hectares.
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Solution
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
=9,900m2
Area of road in hectares, 1m2=100001hectares
∴9,900m2=100009900=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 (Ans)
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