Angle Bisector and Median Problem

Let line $AC$ be perpendicular to line $CE$ . Connect $A$ to the midpoint $D$ of $CE$ and connect $E$ to the midpoint $B$ of $AC$ . If $AD$ and $EB$ intersect in point $F$ , and $BC = CD = 15 \text{ inches}$ , find the area of triangle $DFE$ in square inches.