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Answer:
14.2 in
Step-by-step explanation:
If two tangent segments to a circle share a common endpoint outside the circle, then the two segments are congruent.
Each vertex is a common endpoint outside the circle so we can relabel the figure as shown below...
so ..the perimeter of the polygon is:-
[tex]p=2(1.6)+2(1.9)+(1.5)+2(2.1)\\[/tex]
[tex]p=3.2+3.8+3+4.2[/tex]
[tex]p=14.2 in[/tex]
[tex]-----------[/tex]
hope it helps...
have a great day!!