a garden is 60 metre long and 45 metre broad.A path 4m wide is to be built outside and around it. Also, find the area of the garden in hectare
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Area of original garden =90×75=6750 m
Area of original garden =90×75=6750 m 2
Area of original garden =90×75=6750 m 2
Area of original garden =90×75=6750 m 2 After path is added around rectangle, new length =90+2×5=100 m
Area of original garden =90×75=6750 m 2 After path is added around rectangle, new length =90+2×5=100 mNew breadth =75+2×5=85 m
Area of original garden =90×75=6750 m 2 After path is added around rectangle, new length =90+2×5=100 mNew breadth =75+2×5=85 mArea of rectangle with path =100×85=8500 m
Area of original garden =90×75=6750 m 2 After path is added around rectangle, new length =90+2×5=100 mNew breadth =75+2×5=85 mArea of rectangle with path =100×85=8500 m 2
Area of original garden =90×75=6750 m 2 After path is added around rectangle, new length =90+2×5=100 mNew breadth =75+2×5=85 mArea of rectangle with path =100×85=8500 m 2
Area of original garden =90×75=6750 m 2 After path is added around rectangle, new length =90+2×5=100 mNew breadth =75+2×5=85 mArea of rectangle with path =100×85=8500 m 2 So,
Area of original garden =90×75=6750 m 2 After path is added around rectangle, new length =90+2×5=100 mNew breadth =75+2×5=85 mArea of rectangle with path =100×85=8500 m 2 So,Area of path = Area of rectangle with path − Area of rectangle without path
Area of original garden =90×75=6750 m 2 After path is added around rectangle, new length =90+2×5=100 mNew breadth =75+2×5=85 mArea of rectangle with path =100×85=8500 m 2 So,Area of path = Area of rectangle with path − Area of rectangle without pathArea of path =8500−6750
Area of original garden =90×75=6750 m 2 After path is added around rectangle, new length =90+2×5=100 mNew breadth =75+2×5=85 mArea of rectangle with path =100×85=8500 m 2 So,Area of path = Area of rectangle with path − Area of rectangle without pathArea of path =8500−6750 =1750 m
Area of original garden =90×75=6750 m 2 After path is added around rectangle, new length =90+2×5=100 mNew breadth =75+2×5=85 mArea of rectangle with path =100×85=8500 m 2 So,Area of path = Area of rectangle with path − Area of rectangle without pathArea of path =8500−6750 =1750 m 2
Area of original garden =90×75=6750 m 2 After path is added around rectangle, new length =90+2×5=100 mNew breadth =75+2×5=85 mArea of rectangle with path =100×85=8500 m 2 So,Area of path = Area of rectangle with path − Area of rectangle without pathArea of path =8500−6750 =1750 m 2
Answer:
Area of the garden =2700 square metres = 0.27 hectares.
Area of the path = 904 square metres = 0.0904 hectares
Step-by-step explanation:
The garden in question is 60 metre long and 45 metre broad.
Area of the garden = 60x45 square metres = 2700 square metres
Now 1 hectare = 10,000 square metres
∴ Area of the garden =2700/10000 hectares = 0.27 hectares.
Now, when 4 m wide path is included, the length and breadth is larger than those of the garden itself, by twice the width. This is because, the uniform path is around all four sides - Length increases by two sides and breadth also increases by two sides.
Therefore, including the path, total area
= (60+2x4)(45+2x4) square metres
= 68x53 square metres
Therefore, area of the path = Total area including the path - Area of the garden
= (68x53 - 60x45) square metres
= (3,604 - 2700) square metres
= 904 square metres
= 0.0904 hectares