Hole in 1 Cut

Logic Level 1

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


Note: The cut may not be straight.

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

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