MathDB

2

Part of 2022 Flanders Math Olympiad

Problems(1)

you can divide a square into n dominoes for all n >= 5 , but not for n=3 or 4

Source: Flanders Math Olympiad 2022 p2

12/24/2022
A domino is a rectangle whose length is twice its width. Any square can be divided into seven dominoes, for example as shown in the figure below. https://cdn.artofproblemsolving.com/attachments/7/6/c055d8d2f6b7c24d38ded7305446721e193203.png a) Show that you can divide a square into nn dominoes for all n≥5n \ge 5. b) Show that you cannot divide a square into three or four dominoes.
combinatoricscombinatorial geometrydominoes