Final answer:
Yes, you can cover a chessboard with 1x2 dominos. A 9x9 chessboard would require 41 dominos, while an 8x8 chessboard would require 32 dominos. Removing the top-left and bottom-right corners from an 8x8 chessboard would require 30 dominos.
Step-by-step explanation:
Yes, you can cover a 9x9 square chessboard with 1x2 dominos. To do this, imagine the chessboard as a grid of 1x1 squares. Each 1x2 domino covers two of these squares. Since the chessboard has a total of 81 squares (9x9), and each domino covers two squares, you would need 40.5 dominos to completely cover the chessboard. Since you cannot have half a domino, you would use 41 dominos to cover the board.
Similarly, you can cover an 8x8 square chessboard with 1x2 dominos. The chessboard has a total of 64 squares (8x8), and each domino covers two squares. Therefore, you would need 32 dominos to completely cover the chessboard.
If you remove the top-left and bottom-right corners from an 8x8 square chessboard, you will be left with 60 squares. Since each domino covers two squares, you would need 30 dominos to cover this modified chessboard.