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2013 AMC 8 Question 24

AMC8 · 2013 AMC 8

Question 24

Squares $ABCD,$ $EFGH,$ and $GHIJ$ are equal in area. Points $C$ and $D$ are the midpoints of sides $IH$ and $HE,$ respectively. What is the ratio of the area of the shaded pentagon $AJICB$ to the sum of the areas of the three squares?

Question illustration
  1. $\dfrac{1}{4}$
  2. $\dfrac{7}{24}$
  3. $\dfrac{1}{3}$
  4. $\dfrac{3}{8}$
  5. $\dfrac{5}{12}$