Most recent change of A4Paper

Edit made on June 23, 2013 by ColinWright at 10:16:23

Deleted text in red / Inserted text in green

[[[>40 IMG:A4paper.png ]]]
All A grade sheets of paper are rectangles whose sides are in the ratio EQN:\sqrt{2}:1.

The area of an A0 sheet is 1 square metre.

Folding an 'Ax' sheet of paper in half produces an 'A(x+1)' sheet.

Therefore, the area of an 'Ax' sheet of paper is EQN:(\frac{1}{2})^x square metres.

The actual dimensions of A4 are 297 mm x 210 mm. We can compute the dimensions as EQN:\frac{250\sqrt2}{sqrt(\sqrt2)}
mm and EQN:\frac{250}{sqrt(\sqrt2)} mm that's EQN:\left[\frac{250}{\sqrt(\sqrt2)}\right] mm,
which are
297.3017 ... mm and 210.2241 ... mm. mm respectively. Very, very close.

The ratio of sides is an irrational number, just as for a golden rectangle.