Question 6$ABCD$ is a square with $AB=a$, and $AEFG$ is a rectangle such that $E$ lies on side $BC$ and $D$ lies on side $FG$. If $AE=b$, what is the length of $EF$? $b/a$$3a^2/(2b)$$4a^2/(3b)$$\sqrt2a^2/b$$a^2/b$
