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You have six matchsticks arranged in the shape of a capital letter ‘T’. How can you rearrange the matchsticks to form two perfect squares, with no matchsticks left over?
(Note: you cannot break the matchsticks or overlap them.)
To rearrange the matchsticks to form two perfect squares, you can follow these steps:
Take the two horizontal matchsticks from the top of the T and place them vertically, one next to the other, in the center of the T’s vertical matchstick.
Now, you have a large square formed by the four matchsticks at the corners and a smaller square formed by the two matchsticks in the center.
Rearrange the matchsticks from the smaller square to form another square adjacent to the larger square, using one of the horizontal matchsticks from the T’s stem as a side of the second square.
You should end up with two squares, one large and one small, using all six matchsticks with none left over.