An optimization's problem : what is the best shape for a sheet of paper ?
To avoid scraps during cuttings in order to obtain smaller sheets, the most simple is to chose a rectangle such as, if it is cut into two, we get two identical rectangles similar to the first one (preservation of the sides' ratio).
For the starting sheet  format A0  it is natural to choose a rectangle of area 1 m².
The size of the A4 format is the quarter of that of the A0 format: 29.7 cm by 21 cm (rounded values),
and it's area is 1/16 m² = 625 cm².
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