Respuesta :

Use the distance formula.

[tex]\sqrt{( x_{2} - x_{1} )^2 + (y_{2} - y_{1})^2}[/tex]

 
Points S and W.
[tex]\sqrt{(3)^2 + (2)^2}[/tex]

[tex]\sqrt{9+4}[/tex]

[tex]\sqrt{13}[/tex]

~3.6

Points S and T
[tex]\sqrt{(3 - 0)^2 + (-2 - 0)^2}[/tex]

[tex]\sqrt{(3)^2 + (-2)^2}[/tex]

[tex]\sqrt{9+4}[/tex]

[tex]\sqrt{13}[/tex]

~3.6

Points T and U
[tex]\sqrt{(3 - 2)^2 + (-2 + 5)^2}[/tex]

[tex]\sqrt{(1)^2 + (3)^2}[/tex]

[tex]\sqrt{1+9}[/tex]

[tex]\sqrt{10}[/tex]

~3.1

Points U and V
[tex]\sqrt{(2+2)^2 + (-5 + 5)^2}[/tex]

[tex]\sqrt{(4)^2 + (0)^2}[/tex]

[tex]\sqrt{16}[/tex]

~4

Points V and W
[tex]\sqrt{(-2+3)^2 + (-5 + 2)^2}[/tex]

[tex]\sqrt{(1)^2 + (-3)^2}[/tex]

[tex]\sqrt{2+9}[/tex]

[tex]\sqrt{11}[/tex]

~3.3

Add all these together.

3.3 + 3.1 + 4 + 3.1 + 3.6
≈17

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