a) Fold a $10 \times 10$ square from a $1 \times 118$ rectangular strip. b) Fold a $10 \times 10$ square from a $1 \times (100+9\sqrt3)$ rectangular strip (approximately $1\times 115.58$). The strip can be bent, but not torn.
Problem
Source: Sharygin 2006 CR 5 VIII a, IX-XI b
Tags: paper, folding, square, combinatorics, combinatorial geometry, geometry