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There is a garden inside a 150 m long and 100 m wide rectangular park. A 20 m wide path is built surrounding
the garden along the boundary of the park. Find the area of the garden.
Answers
Answer:
6600m
Step-by-step explanation:
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Given data :
- There is a garden inside a 150 m long and 100 m wide rectangular park.
- A 20 m wide path is built surrounding the garden along the boundary of the park.
To find : The area of the garden.
Solution : Let, length of rectangular park be 150 m and breadth/width of rectangular park be 100 m.
Now,
⟹ Area of rectangular park
= length * breadth
⟹ Area of rectangular park
= 150 * 100
⟹ Area of rectangular park
= Rs 15000
Now, according to given : A 20 m wide path is built surrounding the garden.
Hence,
⟹ length of garden = 150 - {20 + 20}
⟹ length of garden = 150 - 40
⟹ length of garden = 110 m
similarly
⟹ breadth of garden = 100 - {20 + 20}
⟹ breadth of garden = 100 - 40
⟹ breadth of garden = 60 m
Now,
⟹ Area of the garden
= length * breadth
⟹ Area of the garden
= 110 * 60
⟹ Area of the garden
= 6600 m
Answer : Hence, area of garden is 6600 m.
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