Question

A rectangular park is 45 m long and 30 m wide. A path 2.5 m wide is constructed outside the park. Find the area of the path.​

Answer 1

Given :-

Length of Inner Rectangle = 45m

Breadth of Inner Rectangle = 30m

A path 2.5 m wide is constructed outside the park.

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To Find :-

Area of the Path

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Solution :-

❏ In this question, Length and Breadth of inner rectangle is given and it is also given that a 2.5m wide path is constructed outside of the park. So, for finding the Area of the Path we have to substract Area of inner Rectangle from Area of outer Rectangle.

Dimensions of Outer Rectangle :

⟼ Length of Inner Rectangle = 45m

⟼ Length of Outer Rectangle = 45 + 2.5 + 2.5

⟼ Length of Outer Rectangle = 45 + 5

⟼ Length of Outer Rectangle = 50m

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⟼ Breadth of Inner Rectangle = 30m

⟼ Breadth of Outer Rectangle = 30 + 2.5 + 2.5

⟼ Breadth of Outer Rectangle = 30 + 5

⟼ Breadth of Outer Rectangle = 35m

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Area of Outer Rectangle :

➞ Area of Outer Rectangle = L × B

➞ Area of Outer Rectangle = 50 × 35

➞ Area of Outer Rectangle = 1750m²

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Area of Inner Rectangle :

➞ Area of Inner Rectangle = L × B

➞ Area of Inner Rectangle = 45 × 30

➞ Area of Inner Rectangle = 1350m²

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Area of Path :

⟾ Area = Area of Outer - Inner Rectangle

⟾ Area = 1750 - 1350

⟾ Area of Path = 400m²

Thus, Area of Path = 400m²