Metric paper which always has the same ratio of dimensions when folded in half that being 1/sqrt(2). How was the logic behind this derived?

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Metric paper which always has the same ratio of dimensions when folded in half that being 1/sqrt(2). How was the logic behind this derived?

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The idea is the larger paper format is a multiple of smaller. A A3 paper is equal in size to two A4 side by side. A A4 is two A5.

The size is so that a A0 has an area of 1 square meter. That means a A4 has an area of 1/2^4= 0.0625 square meters

If you for example want to print a A5 booklet you can simply do it by printing it on A4 and folding it. If the booklet is 4 pages you need a single A4, for more pages you need some staples

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