Keep on walking

Geometry Level 3

Kishore walks completely around the boundary of a square field whose sides sre \(5\)km each.From any point on his path,he can see exactly \(1\)km in all directions.Find the area of the region Kishore can see during his walk.

\(\textbf{Details and Assumptions}\)

If the answer is expressible in the form \((a+\pi)\) where \(a\) is a natural number,then find \(a\).


Sketch the diagram carefully.

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