a square is cut into 100 rectangles by 9 + 9 lines parallel to it's sided
Source: Tournament Of Towns Spring 1999 Junior 0 Level p5
May 7, 2020
geometryrectangleSquaressquarecombinatorial geometrycombinatorics
Problem Statement
A square is cut into rectangles by straight lines parallel to one of the sides and lines parallel to another. If exactly of the rectangles are actually squares, prove that at least two of these squares are of the same size . (V Proizvolov)