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AMC8 2027 - Self-practice Set 5 Question 7

AMC8 · AMC8 2027 - Self-practice Set 5

Question 7

The three squares $ABCD$, $EFGH$, and $IJGH$ have equal areas. Points $C$ and $D$ are the midpoints of $HI$ and $HE$, respectively. What fraction of the total area of the three squares is shaded?
Question illustration
  1. $\frac14$
  2. $\frac7{24}$
  3. $\frac13$
  4. $\frac38$
  5. $\frac5{12}$