5. Triangle $A B C$ has a right angle at $B$, with $A B=3$ and $B C=4$. If $D$ and Eare points on $A C$ and $B C$, respectively, such that $C D=D E=\frac{5}{3}$, find the perimeter of quadrilateral $A B E D$.
5. $\frac{28}{3}=9 \frac{1}{3}$