MathDB
Perimeter/Area Ratio

Source: KöMaL A. 802

March 24, 2022
komalcombinatoricsgeometry

Problem Statement

Let PP be a given regular 100100-gon. Prove that if we take the union of two polygons that are congruent to P,P, the ratio of the perimeter and area of the resulting shape cannot be more than the ratio of the perimeter and area of P.P.