Minimario's triangles

In triangle $\triangle ABC$ , $AB=30$ and $AC=28$ . Point $D$ lies on line segment $AB$ such that $BD=16$ and point $E$ lies on line segment $AC$ such that the area of quadrilateral $BCED$ is $\frac{7}{10}$ th of the area of triangle $\triangle ABC$ . Find the length of $AE$ .

This problem is posed by Minimario M .