Question 21Square $AXYZ$ is inscribed in equiangular hexagon $ABCDEF$ with $X$ on $\overline{BC},$ $Y$ on $\overline{DE},$ and $Z$ on $\overline{EF}.$ Suppose that $AB = 40$ and $EF = 41(\sqrt{3} - 1).$ What is the side-length of the square? $29\sqrt{3}$$\dfrac{21}{2}\sqrt{2} + \dfrac{41}{2}\sqrt{3}$$20\sqrt{3} + 16$$20\sqrt{2} + 13\sqrt{3}$$21\sqrt{6}$
