Matches and rectangles


Before Nov 6 we didn’t have a match stick puzzle for quite a while, so let’s have one again.

1) How many rectangles are there in this square?**/*****

2) How many rectangles are there in an mxn rectangle?**/*****
The previous puzzle can be generalized from 3×3 to any size, an m x n rectangle. How many rectangles are there in an mxn rectangle?

New puzzles are published at least once a month on Fridays. Solutions are published after one or more weeks. You are welcome to remark on the difficulty level of the puzzles, discuss alternate solutions, and so on. The difficulty of puzzles is rated on a scale of 1 to 5 stars. You can check your solutions here.

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