# 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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