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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
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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