In the regular octagon above, the area of rectangle \(BCDE\) is what fraction of the area of rectangle \(ACDF?\)

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In the regular octagon above, the area of rectangle \(BCDE\) is what fraction of the area of rectangle \(ACDF?\)

A) \(\dfrac1{\sqrt2}\)

B) \(\dfrac1{2\sqrt2}\)

C) \(\dfrac1{2+\sqrt2}\)

D) \(\dfrac2{1+\sqrt2}\)

E) \(\dfrac4{2+\sqrt2}\)

Answer: C

Source: Economist
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