# 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 $$a$$.

$$\textbf{Hints}$$

Sketch the diagram carefully.