4

Part of 1999 German National Olympiad

Problems(1)

convex polygon P is placed inside a unit square Q, perimeter P <=4

Source: Germany 1999 p4

A convex polygon

P

is placed inside a unit square

Q

. Prove that the perimeter of

P

does not exceed

4

geometryperimeterGeometric Inequalitiesinequalitiesconvexpolygon