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Using all five tiles, only one rectangle can be made. (1 tile wide by 5 tiles long)

Using less than all five tiles, you could make six different rectangles. (squares are technically rectangles too.) The rectangles possible would be: 1 tile wide by 5 tiles long, 1 wide by four long, 1 wide by 3 long, 1 wide by 2 long, 1 wide by 1 long, and 2 wide by 2 long.

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Q: How many different rectangles can you make with 5 tiles?
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How many different rectangles can be made with 45 identical square tiles?

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