37

Part of 1972 IMO Longlists

Problems(1)

Covering an imperfect chessboard with 1x2 rectangles

Source:

On a chessboard (

8\times 8

squares with sides of length

1

) two diagonally opposite corner squares are taken away. Can the board now be covered with nonoverlapping rectangles with sides of lengths

1

2

geometryrectanglesearchcombinatorics proposedcombinatorics