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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Also, find the area of the park excluding crossroads. Give the answer in hectares. Solution 6: Length of the road parallel to the length of the ...
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༒Given:-
- Width of roads = 10m
- Length of rectangular park = 700m
- Breadth of rectangular park = 300m
༒To find:-
- Area of roads
- Area of park excluding cross roads
༒Solution:-
Length of the park = 700m
Breadth of the park = 300m
Area = l×b
= 700×300
= 210000m²
Let us assume that ABCD and EFGH as two cross roads.
Area of ABCD cross road = l × b
= 700×10
= 7000m²
Area of EFGH cross road = l × b
= 300×10
= 3000m²
Area of IJKL at central = l × b
= 10×10
= 100m²
Area of roads = Area of ABCD + EFGH + IJKL
= 7000 + 3000 - 100
= 10000 - 100
= 9900m²
We know that 1 hectare = 10000m²
Area of roads in hectare = 9900/10000
= 0.99 hectare
Finally, Area of the park excluding roads = Area of park - Area of roads
= 210000 - 9900
= 200100m²
= 200100/10000
= 20.01 hectare
_____________________
- Area of park = 9900m²
- Area of park excluding roads = 20.01 hectare.
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- Figure in the attachment.
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