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Question:

Hard tiling question.?

Find the number of tiling a 2 * n rectangle with 1 * 2 and 2 * 2, given that the edges of the tiles are parallel to those of the rectangle.

Answer:

If you are tiling a 2 * n rectangle with 1 * 2 tiles, you would line up 1 tile along the end measuring 2, then, becasue the other dimension of the tile is 1, you would need n tiles For 2 * 2 tiles you would do the same thing except that each tile would cover 2 units of the side that is n units, so you would need n/2 tiles

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