Answer:
The perimeter of the polygon is 48
Explanation:
Given:

Step 1: To find the the lengths of the polygon, the circle theorem states that, "Two tangents from an external point to a circle are always equal in length".
Thus, the length of the line segment

The length of the line segment

Since,
,
The length of the line segment

The length of the line segment

Step 2: To find the perimeter of the polygon, add the length of the line segment.

Thus, the perimeter of the polygon is 48.