Consider a normal chessboard with each small square of dimension 1 unit x 1 unit.
We have a lot of rectangular tiles of dimensions 1 unit x 2 units. One rectangular tile covers exactly 2 squares. It can be placed only vertically or horizontally, and not diagonally.
Our task is to cover the entire chessboard.
We can easily see that the entire board can be covered by 32 tiles.
Now what if, two small squares from the corners of the the chessboard board are removed. There are 62 squares remaining now.
Can you cover these 62 squares using the rectangular tiles now?
Is it possible?
If yes, how can we do it? Else, why not?
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Insights, ideas received and discussion about this problem will be posted here on 31st August, 2019.