KöMaL 2009 K207

The floor of a rectangular shaped hallway of area 14.4 $m^2$ is tiled with rectangular tiles. In every fifth row of tiles along the length of the hallway, the tiles are rotated through a right angle. In this way, 15 rows of tiles are needed and no tiles need to be cut. If all tiles were laid in the way they are laid in the fifth rows, the hallway could also be tiled without cutting any tiles. In that case, there would be 18 rows of tiles. What may be the dimensions of the tiles if their sides in centimetres are whole numbers?