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Problem 9.
Suppose you have three square tiles, all three the same size, the sides of each
being one foot. How can you cut the tiles with only straight line cuts
and rearrange all the pieces into a single (3 square foot} square ?
Show diagrams of how to cut and rearrange the pieces and show the
angles and/or lengths of the side of the pieces.
Solution:
Cut the 3 tiles into pieces as prescribed and place the pieces
together to form
a 3-square foot area. Each side of the 3-square foot area is
.
See figure below:
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