Extending the sides

The sides of a square and a rectangle will be simultaneously and repeatedly extended according to the following rules: all sides of the square we extend always by 2 cm, the shorter sides of the rectangle we extend always by 1 cm, and the longer sides always by 4 cm.
At the beginning the square has a side length of 4 cm and the rectangle has side lengths of 3 cm and 6 cm.
Determine after which extension the perimeter of the rectangle will be exactly 1 m larger than the perimeter of the square.

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