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