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ratio of sidelengths of rectangle circumscribed in L shape

Source: 2006 Oral Moscow Geometry Olympiad grades 8-9 p2

October 17, 2020
ratiogeometryrectangle

Problem Statement

Determine the ratio of the sides of the rectangle circumscribed around a corner of five cells (see figure).
(M. Evdokimov) https://cdn.artofproblemsolving.com/attachments/f/f/9c3e345f33cabbbd83f65d7240aac29a163b19.png