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AMC10 2027 - Self-practice Set 3 Question 21

AMC10 · AMC10 2027 - Self-practice Set 3

Question 21

Square $EFGH$ has one vertex on each side of square $ABCD.$ Point $E$ is on $\overline{AB}$ with $AE=7\cdot EB.$ What is the ratio of the area of $EFGH$ to the area of $ABCD?$
  1. $\dfrac{49}{64}$
  2. $\dfrac{25}{32}$
  3. $\dfrac78$
  4. $\dfrac{5\sqrt{2}}{8}$
  5. $\dfrac{\sqrt{14}}{4}$