This is a classic checkerboard design often used in traditional floorcloth making.  The squares can be sized to perfectly fit the desired floorcloth footprint. Black and white are a common color combination, but any set of colors that work for the surroundings can be employed.

This pattern was chosen by Eidsvoll 1814, Norway's Constitutional Museum, when they were looking for an appropriate floorcloth design for their dining room in preparation for their Bicentennial celebration in 2014.  The pattern is based on a design from Calke Abbey, a historic property in the UK.