Chapter 4.2, Problem 35E

For Exercises 32 to 35, consider kite $ABCD$ with $\overline{AB}\cong \overline{AD}$ and $\overline{BC}\cong \overline{DC}$.

For kite $ABCD$, $AB=\frac{x}{6}+5$, $AD=\frac{x}{3}+3$, and $BC=x-2$. Find the perimeter of $ABCD$.