Puzzle #48: The Twelve Matches

Martin Garder books have an unending supply of great puzzles, and here is another one from Mathematical Puzzles and Diversions, Chapter 12, puzzle #6.

Given that a match is one unit long, it is possible to arrange 12 matches on a table in various ways to form polygons with areas that are exactly whole numbers. Two such examples are shown below, a square with an area of 9 square units and a cross with an area of 5 square units. The problem is to use all 12 matches to form the perimeter of a polygon with an area of exactly 4 square units.

Example of Polygons with 12 Matches

Example of Polygons with 12 Matches

Please note that there are multiple answers.

As always, please send your answers directly to me at alokgoyal_2001@yahoo.com. If you like the puzzle, please share it with others. If you have interesting puzzles to share, please send them to me at my e-mail given above.

Happy matching!


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