New Paper Size R4

Algebra Level 3

ISO 216 specifies international standard (ISO) paper sizes. All ISO paper sizes (except DL) have the same aspect ratio, \(1:\sqrt 2\). This ratio has the unique property that when cut or folded in half width-wise, the halves also have the same aspect ratio.

Suppose I define a paper series \(R\) with the same aspect ratio, although this is rounded to the nearest millimetre. If the starting element \(R0\) has an area of \((150 \times 212) mm^2\), what will be the area of \(R4\) in \(mm^2\)?

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