Question

A regular polygon with 4k sides is divided into parallelograms. Prove that among these parallelograms there are at least k rectangles. Find the sum of the areas of all the rectangles.

Difficulty level (1 very easy - 10 very hard): 4

Topics:
Geometry -> Plane Geometry Geometry -> Area Calculation Geometry -> Solid Geometry / Geometry in Space -> Polyhedra -> Regular Polyhedra
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