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2015 AMC 8 Question 2

AMC8 · 2015 AMC 8

Question 2

Point $O$ is the center of the regular octagon $ABCDEFGH,$ and $X$ is the midpoint of the side $\overline{AB}.$ What fraction of the area of the octagon is shaded?

Question illustration
  1. $\dfrac{11}{32}$
  2. $\dfrac{3}{8}$
  3. $\dfrac{13}{32}$
  4. $\dfrac{7}{16}$
  5. $\dfrac{15}{32}$