2011 AMC 10A Problem 11

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?

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\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}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.