Use the distance formula.
\(\sqrt{( x_{2} - x_{1} )^2 + (y_{2} - y_{1})^2}\)
Points S and W.
\(\sqrt{(3)^2 + (2)^2}\)
\(\sqrt{9+4}\)
\(\sqrt{13}\)
~3.6
Points S and T
\(\sqrt{(3 - 0)^2 + (-2 - 0)^2}\)
\(\sqrt{(3)^2 + (-2)^2}\)
\(\sqrt{9+4}\)
\(\sqrt{13}\)
~3.6
Points T and U
\(\sqrt{(3 - 2)^2 + (-2 + 5)^2}\)
\(\sqrt{(1)^2 + (3)^2}\)
\(\sqrt{1+9}\)
\(\sqrt{10}\)
~3.1
Points U and V
\(\sqrt{(2+2)^2 + (-5 + 5)^2}\)
\(\sqrt{(4)^2 + (0)^2}\)
\(\sqrt{16}\)
~4
Points V and W
\(\sqrt{(-2+3)^2 + (-5 + 2)^2}\)
\(\sqrt{(1)^2 + (-3)^2}\)
\(\sqrt{2+9}\)
\(\sqrt{11}\)
~3.3
Add all these together.
3.3 + 3.1 + 4 + 3.1 + 3.6
≈17