Problem A. 802. (May 2021)

A. 802. Let \(\displaystyle P\) be a given regular 100-gon. Prove that if we take the union of two polygons that are congruent to \(\displaystyle P\), the ratio of the perimeter and area of the resulting shape cannot be more than the ratio of the perimeter and area of \(\displaystyle P\).

(7 pont)

Deadline expired on June 10, 2021.

Statistics:

2 students sent a solution.
7 points:	Csilling Dániel.
3 points:	1 student.

Problems in Mathematics of KöMaL, May 2021