cut square of side \sqrt{2015} into no more than 5 pieces, integer rectangle
Source: 2015 Baltic Way Shortlist G2 BW https://artofproblemsolving.com/community/c2641329_baltic_way_shortlist__geometry
November 22, 2021
squarecombinatoricscombinatorial geometryrectanglegeometry
Problem Statement
Is it possible to cut a square with side into no more than five pieces so that these pieces can be rearranged into a rectangle with sides of integer length? (The cuts should be made using straight lines, and flipping of the pieces is disallowed.)