According to the ISO-A size series, what is the designation of a trimmed sheet with dimensions 297 mm × 420 mm?
A3
The ISO A-series paper sizes are based on a simple geometric progression. The ratio between the length and width of each size is \( \sqrt{2} \approx 1.414 \). Each subsequent size in the series is half the area of the previous size.
A0 has an area of 1 square meter, with dimensions of 841 mm × 1189 mm. A1 is half the area of A0, A2 is half the area of A1, and so on. This means the dimensions are progressively halved (in area).
Let's look at the dimensions given: 297 mm × 420 mm. We know that A4 is 210 mm × 297 mm. If we compare the provided dimensions (297 mm × 420 mm) with the A4 dimensions, we see that the shorter side of the given dimensions (297 mm) matches the longer side of A4. The longer side of the given dimensions is exactly double the shorter side of A4 (210mm x 2 = 420mm).
Therefore, doubling the shorter side of A4 and using the longer side of A4 as the shorter side of the next size leads to the A3 size (297 mm × 420 mm).
The correct answer is A3.
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