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The Right Place For Online Math Help |

The Chess Board

We all know that a chess board has 64 squares. This can be completely covered by 32 cardboard rectangles, each cardboard covering just 2 squares.

Supposing we remove 2 squares of the chess board at diagonally opposite corners, can we cover the modified board with 31 rectangles? If it can be done, how can we do it? And if it cannot be done, prove it impossible.
No.It can not be done.
Each rectangle covers one white square and one black square, because on a chess board the white and black squares are always adjacent.
I think now you gor the reason.


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