MathDB
square with side length 14 covered by 21 squares

Source: 2007 Moldova JBMO TST p7

February 20, 2021
combinatorial geometrycombinatorics

Problem Statement

Show that there is a square with side length 1414 whose floor may be covered (exact coverage of the square area) by 2121 squares so that between them there is exactly 66 squares with side length 11, 55 squares with side length 22, 44 squares with side length 33, 33 squares with side length 44, 22 squares with side length 55 and a square with side length 66 .