081

Part of 1941 Moscow Mathematical Olympiad

Problems(1)

MMO 081 Moscow MO 1941 divide rectangle into different 5,6 squares

Source:

a) Prove that it is impossible to divide a rectangle into five squares of distinct sizes.
b) Prove that it is impossible to divide a rectangle into six squares of distinct sizes.

geometryrectangleSquarescombinatorial geometryImpossible