Covering a 15x36 checkerboard
Source: Finnish Mathematics Competition 1998, Final Round, Problem 5
November 14, 2011
combinatorics unsolvedcombinatoricsTiling
Problem Statement
15\times 36-checkerboard is covered with square tiles. There are two kinds of tiles, with side or
Tiles are supposed to cover whole squares of the board and be non-overlapping.
What is the maximum number of squares to be covered?