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Problem Description Points \(E\) and \(F\) are located on square \(ABCD\) so that \(\Delta BEF\) is equilateral. What is the ratio of the area of \(\Delta DEF\) to that of \(\Delta ABE\)? [asy] pair A=origin, B=(1,0), C=(1,1), D=(0,1), X=B+2*dir(165), E=intersectionpoint(B--X, A--D), Y=B+2*dir(105), F=intersectionpoint(B--Y, D--C); draw(B--C--D--A--B--F--E--B); pair point=(0.5,0.5); label("\(A\)", A, dir(point--A)); label("\(B\)", B, dir(point--B)); label("\(C\)", C, dir(point--C)); label("\(D\)", D, dir(point--D)); label("\(E\)", E, dir(point--E)); label("\(F\)", F, dir(point--F));[/asy] $$\textbf{(A)}\; \frac43\qquad \textbf{(B)}\; \frac32\qquad \textbf{(C)}\; \sqrt3\qquad \textbf{(D)}\; 2\qquad \textbf{(E)}\; 1+\sqrt3\qquad$$

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