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Common paper sizes are: Foolscap:  216 mm × 343 mm, A4:  210 mm × 297 mm, B4:      250 mm × 353 mm and A3: 297 mm × 420 mm. Which type of paper has a length : width ratio nearest to the Golden Ratio?

Question

Common paper sizes are: Foolscap:  216 mm × 343 mm, A4:  210 mm × 297 mm, B4:      250 mm × 353 mm and A3: 297 mm × 420 mm. Which type of paper has a length : width ratio nearest to the Golden Ratio?

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Solution

The Golden Ratio is approximately 1.618. To find out which paper size is closest to the Golden Ratio, we need to divide the length of the paper by its width for each paper size.

  1. Foolscap: 343 mm / 216 mm = 1.588
  2. A4: 297 mm / 210 mm = 1.414
  3. B4: 353 mm / 250 mm = 1.412
  4. A3: 420 mm / 297 mm = 1.414

Looking at these results, we can see that the Foolscap paper size has a length to width ratio closest to the Golden Ratio.

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