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2010 AMC 8 Question 17

AMC8 · 2010 AMC 8

Question 17

The diagram shows an octagon consisting of $10$ unit squares. The portion below $\overline{PQ}$ is a unit square and a triangle with base $5.$ If $\overline{PQ}$ bisects the area of the octagon, what is the ratio $\dfrac{XQ}{QY}?$

Question illustration
  1. $ \dfrac{2}{5} $
  2. $ \dfrac{1}{2} $
  3. $ \dfrac{3}{5} $
  4. $ \dfrac{2}{3} $
  5. $ \dfrac{3}{4} $