Hole in 1 Cut

Logic Level 1

Using a single (possibly zig-zagging) line, can we cut the \( 4 \times 6 \) rectangle into 2 identical pieces, and rearrange them into a \( 5 \times 5\) square with a \( 1 \times 1 \) hole in the center?


Note: The cut may not be straight.

As an explicit example, this is how to get a \( 6 \times 5 \) square with a \( 2 \times 3 \) hole in the center:

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