The perimeter of the polygon is 76 cm
Step-by-step explanation:
Tangents from the same points are of the same lengths.
Using an illustration:
The points are in Magenta and the lengths with same sides have been indicated
Now we can calculate the perimeter of the polygon:
Perimeter = 8cm + 19cm + 19cm + 6cm + 6cm + 5cm + 5cm + 8cm
Perimeter = 76cm
The perimeter of the polygon is 76 cm