OMM 1999 Problem 6
Un polígono se dice que es ortogonal si todos sus lados tienen longitudes enteras y cada dos lados consecutivos son perpendiculares. Demuestre que si un polígono ortogonal se puede cubrirse con rectángulos de (sin que estos se traslapen), entonces al menos uno de sus lados tiene longitud par.
Official text Mexican Mathematical Olympiad 1999 official paper, page 1. Quoted with source.
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