There are fourteen rectangular tiles with sides of length 3 and 4 and one square tile with sides of length 1 to tile a square floor which is 13 by 13.
(a) Show that this is possible if the 3 by 4 tiles are cut into two 3-4-5 triangles.
(b) Prove that this is impossible without cutting any tiles.
Sign in or create an account to reveal answers, view the solution, and save your progress. Create a free account to unlock practice and keep track of your work.
Maclaurin Mathematical Olympiad (2025)
One puzzle per day. Cryptarithm, Magic Square, Summit. No sign-up required to play.
Play daily puzzle →Interactive problems and curated lessons—water pouring, magic squares, knight's tour, and more.
Browse library →See how you rank. Top solvers by problems solved correctly. Sign in to climb the ranks.
View leaderboard →