SOLUTION
The diagram below would help
Because of the tangents, the side I place strokes are equal
So
From side 14.7, the part above the point is 6.7 due to tangent
The other side becomes
[tex]14.7-6.7=8[/tex]
This make the similar stroke part to be 8 as well.
The base of the triangle becomes
[tex]8+4.1=12.1[/tex]
Hence the perimeter becomes
[tex]\begin{gathered} 12.1+4.1+6.7+6.7+14.7 \\ =44.3 \end{gathered}[/tex]
Hence the answer is 44.3
Note that the polygon here is the triangle
