Two Cross roads Each of width 10 M ,cut at right angles through center of rectangular park of Length 700m and breadth 300m and parellel to sides find area of roads and area of the park Excluding Cross roads
Answers
Answer:
Let the blue region represent the park and the orange region represent the roads.
Area of the park = Length × Breadth
= 700 m × 300 m
= 210000 m^2
Length of the road parallel to the length of the park = 700 m
Width of the road = 10 m
Area of the road ABDC = Length × Breadth
= 700 m × 10 m
= 7000 m^2
Length of the road parallel to the breadth of the park = 300 m
Width of the road = 10m
Area of road EFGH = Length × Breadth
= 300 m × 10 m
= 3000 m^2
Note that IJLK is a common region between the two roads which is a square with a side length of 10 m.
Therefore, area of both the roads = Area of the road ABDC + Area of road EFGH - Area of Common Portion IJLK
= 7000 m^2 + 3000 m^2 - (10 ×10) m^2
= 10000 m2 - 100 m2^
= 9900 m^2
= 0.99 hectares
Therefore, area of the park excluding the roads = Area of the Park - Area of the roads
= 210000 m^2 - 9900 m^2
= 200100 m^2
= 20.01 hectares
MARK ME AS BRAINLIEST
