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A rectangular lawn of length 40 m and breadth 25 m is to be surrounded externally by a path which is2 m wide. Find the area of the path.​

User Wicz
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1 Answer

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Explanation:

the area of the path is the area of the large rectangle of the outside of the path minus the area of rectangular lawn (this is the area of the smaller rectangle of the inside of the path).

we assume the path is not rounded in the corners.

so, the area of the small inside rectangle is simply

40×25 = 1000 m²

now for the larger outside one :

since the path is 2 m wide, we have to add 2 m on each end of the sides of the inner rectangle.

so, the large length is then 40 + 2 + 2 = 44 m (at the end of every lawn length there is a 2 m path at the left end and a 2 m path of the right end).

and the large breadth is then 25 + 2 + 2 = 29 m.

so the area of the large rectangle is

44 × 29 = 1,276 m²

remember, the area of the path is the large rectangle minus the small rectangle :

1,276 - 1,000 = 276 m²

User Cory ODaniel
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