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Remove 6 matches to leave exactly 2 squares puzzle

Remove 6 matches to leave exactly 2 squares puzzle

Removing 6 matches to form two squares puzzle

In the matchstick puzzle figure, remove 6 matches to leave exactly 2 squares. No matchstick should be left hanging. Each must be a part of a square.

The Puzzle

In the following matchstick figure, remove 6 matchsticks to leave exactly 2 squares.

Remove 6 matches to leave exactly 2 squares puzzle graphic

Recommended time to solve is 5 minutes.

Try out. It is not a difficult puzzle.

Solution to remove 6 matches to leave 2 squares puzzle: Count of matchstick analysis

Total number of matchsticks is 17. If 6  matches are removed, 11 matchsticks will remain. We have to make exactly 2 squares with these 11 matchsticks.

It follows,

Conclusion 1: There must be one medium sized square of 2-stick side length that comprises 8 matchsticks.

That means,

Conclusion 2: With the rest 3 matchsticks the second square of 1-stick side length is to be created.


Conclusion 3: The two squares will have one side common.

The following figure shows one such solution.

Remove 6 matches to leave exactly 2 squares puzzle solution

The small square may be attached externally to any of the eight sides of the larger square, but rotationally all 8 configurations will be equivalent.

Thus, rotationally unique solution is only 1.

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