MathDB
Square Fields

Source: 2017 AMC 10A #7, 2017 AMC 12A #4

February 8, 2017
AMCAMC 10AMC 122017 AMC 10A2017 AMC 12Apercent

Problem Statement

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 closest to how much shorter Silvia's trip was, compared to Jerry's trip?
<spanclass=latexbold>(A)</span> 30%<spanclass=latexbold>(B)</span> 40%<spanclass=latexbold>(C)</span> 50%<spanclass=latexbold>(D)</span> 60%<spanclass=latexbold>(E)</span> 70%<span class='latex-bold'>(A)</span>\ 30 \%\qquad<span class='latex-bold'>(B)</span>\ 40 \%\qquad<span class='latex-bold'>(C)</span>\ 50 \%\qquad<span class='latex-bold'>(D)</span>\ 60 \%\qquad<span class='latex-bold'>(E)</span>\ 70 \%