**AMC 10 Mock Exam Question 11**

Square $EFGH$ has one vertex on each side of square $ABCD$. Point $E$ is on $AB$ with $AE=7\cdot EB$. What is the ratio of the area of $EFGH$ to the area of $ABCD$?

$\displaystyle\textbf{(A) } \frac{49}{64} \qquad\textbf{(B) } \frac{25}{32} \qquad\textbf{(C) } \frac78 \qquad\textbf{(D) } \frac{5\sqrt{2}}{8} \qquad\textbf{(E) } \frac{\sqrt{14}}{4}$

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