2

Part of 1995 Italy TST

Problems(1)

21 rectangles on a 8 x 8 chessboard

Source: Italy TST 1995

Twenty-one rectangles of size

3\times 1

are placed on an

8\times 8

chessboard, leaving only one free unit square. What position can the free square lie at?

geometryrectanglelinear algebramatrixgeometric transformationreflectionsymmetry