Points, Lines & Planes · Medium problem

Quadrilateral $ABCD$ has $\overline{AB}\cong\overline{CD}$ and $\overline{BC}\cong\overline{AD}$. If $AB=5x-3$, $CD=2x+6$, $BC=3y+1$, and $AD=6y-14$, find the perimeter of $ABCD$.