MathDB
Dissecting a rectangle

Source: European Girl's MO 2013, Problem 2

April 10, 2013
geometryrectanglecombinatorial geometryEGMOEGMO 2013

Problem Statement

Determine all integers mm for which the m×mm \times m square can be dissected into five rectangles, the side lengths of which are the integers 1,2,3,,101,2,3,\ldots,10 in some order.