Question 18Rectangle $ABCD$ has $AB=8$ and $BC=6.$ Point $M$ is the midpoint of diagonal $\overline{AC},$ and $E$ is on $\overline{AB}$ with $\overline{ME}\perp\overline{AC}.$ What is the area of $\triangle AME?$$\dfrac{65}{8}$$\dfrac{25}{3}$$9$$\dfrac{75}{8}$$\dfrac{85}{8}$