5. It is known that in trapezoid $A B C D$, where diagonal $B D$ forms an angle of $30^{\circ}$ with the base, a circle can be inscribed and a circle can be circumscribed around it. Find the ratio of the perimeter of the trapezoid to the length of the inscribed circle. Find the ratio of the perimeter of the trapezoid to the length of the circumscribed circle.
Answer: $\frac{P}{L_{1}}=\frac{4 \sqrt{3}}{\pi}, \frac{P}{L_{2}}=\frac{2}{\pi}$.