MathDB
TOT 034 1983 Spring J-O2 J-A2 regular 4k-gon is cut into parallelograms

Source:

August 18, 2019
geometryrectangleparallelogramareasregular polygon

Problem Statement

(a) A regular 4k4k-gon is cut into parallelograms. Prove that among these there are at least kk rectangles.
(b) Find the total area of the rectangles in (a) if the lengths of the sides of the 4k4k-gon equal aa.
(VV Proizvolov, Moscow)