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Sample Question 3:
Rectangle \(ABCD\), pictured below, shares \(50\%\) of its area with square \(EFGH\). Square \(EFGH\) shares \(20\%\) of its area with rectangle \(ABCD\). What is \(\frac{AB}{AD}\)?
\(\textbf{(A)}\ 4 \qquad \textbf{(B)}\ 5 \qquad \textbf{(C)}\ 6 \qquad \textbf{(D)}\ 8 \qquad \textbf{(E)}\ 10\)