Respuesta :

In order to find the perimeter of the polygon we need to find the measure of each side

We have the next sides

s1=18.4

s2=21.9

s3=20.5

s4=?

we need to find s4 with the fact that two tangents from the same vertex have equal measurements

[tex]\begin{gathered} 18.4-5.4=13 \\ 21.9-13=8.9 \\ 20.5-8.9=11.6 \\ s4=11.6+5.4=17 \end{gathered}[/tex]

then we sum all the sides in order to find the perimeter

[tex]P=18.4+21.9+20.5+17=77.8[/tex]

The perimeter is P=77.8