2017 AMC 12A Problems/Problem 4

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Jerry and Silvia wanted to go from the southwest corner of a square field to the northeast corner. Jerry walked due east and then due north to reach the goal, but Silvia headed northeast and reached the goal walking in a straight line. Which of the following is clsoest to how much shorter Silvia's trip was, compared to Jerry's trip?


$\textbf{(A)}\ 30 \% \qquad\textbf{(B)}\ 40 \% \qquad\textbf{(C)}\ 50 \% \qquad\textbf{(D)}\ 60 \% \qquad\textbf{(E)}\ 70 \%$

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