Prove that a 6x6 board cannot be tiled with the tile shown. Use the coloring of the board to justify your answer. (In a tiling of the board, every square of the board is covered without overlapping...

Extracted text: Prove that a 6x6 board cannot be tiled with the tile shown. Use the coloring of the board to justify your answer. (In a tiling of the board, every square of the board is covered without overlapping the tiles. The tiles may be shifted, rotated, or flipped over.)