Find the perimeter of the polygon.106The perimeter of the polygon is17

Given:
The polygonal with inscribed circle and some measurements.
Required:
The perimeter of the polygon.
Explanation:
Tangent theorem:
Two different tangents drawn from an external point to the circle have equal length.
So, lets again draw given figure
Perimeter is the distance around the edge of a shape.
So, perimeter of polygon will be sum of all edges.
That is,
[tex]\begin{gathered} Perimeter(P)=AB+BC+CD+DA \\ P=16+17+17+16 \\ P=66 \end{gathered}[/tex]Answer:
The perimeter of polygon is 66.