This question was uploaded on 04/12/21 on social media accounts.
Solution:
\[\color{orange} {Orange = \sqrt{(2r)^2+(2r)^2} = (2\sqrt2)r}\]
\[\color{green} {Green = \sqrt{(2r)^2-(r)^2} = (\sqrt3)r}\]
\[\frac{\color{Orange} {Orange}} {\color{green} {Green}}=\frac{2\sqrt2}{\sqrt3} = \frac23\sqrt6\]
