Let a, the side length of the two equal squares be 1 unit.
tanb = 1/2
b = atan(½)°
c = 90-b
c = (90-atan(½))°
c = atan(2)°
d = ½(atan2)°
It implies;
tan(0.5atan(2)) = x/1
0.6180339887 = x/1
x = 0.6180339887 units.
Therefore;
a ÷ x is;
1/0.6180339887
= 1.6180339887
= ½(1+√(5))
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