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## 'Golden Thoughts' printed from http://nrich.maths.org/

Given that the areas of $A1$, $A2$ and $A3$ in the above diagram
are equal, show that $${RX\over XS} = {RY\over YQ} = {{\sqrt{5}+
1}\over 2}$$ so that the points $X$ and $Y$ divide the sides of the
rectangle in the golden ratio.