The perimeter of the polygon is 53.6 units.
Solution:
The reference image to the answer is attached below.
AP = 8, BQ = 7.8 and CR = 11
AP and AR are tangents to a circle from an external point A.
BP and BA are tangents to a circle from an external point B.
CQ and CR are tangents to a circle from an external point C.
Tangents drawn from an external point to a circle are equal in length.
⇒ AP = AR, BP = BQ and CQ = CR
AR = 8
BP = BQ
⇒ BP = 7.8
CQ = CR
⇒ CQ = 11
Perimeter of the polygon = AP + BP + BQ + CQ + CR + AR
= 8 + 7.8 + 7.8 + 11 + 11 + 8
= 53.6
The perimeter of the polygon is 53.6 units.
