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Berkeley Math Circle

Geometry Difficulty 4.6 AIME Prove it United States

Problem:
Given three squares of dimensions $2 \times 2$ , $3 \times 3$ , and $6 \times 6$ , choose two of them and cut each into 2 figures, such that it is possible to make another square from the obtained 5 figures.

Solution

Solution:
The solution is shown in the picture below

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