Question 23In trapezoid $ABCD$ we have $\overline{AB}$ parallel to $\overline{DC},$ $E$ as the midpoint of $\overline{BC},$ and $F$ as the midpoint of $\overline{DA}.$ The area of $ABEF$ is twice the area of $FECD.$ What is $\dfrac{AB}{DC}?$$2$$3$$5$$6$$8$