Answer:
B 12.68
Step-by-step explanation:
you will need to find the distance between each segment-
so the length of DC, CF, FE, ED
[tex]d=\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]
DC:
D(-2,-1) C(-1,2)
[tex]d=\sqrt{(-1--2)^{2} +(2--1)^{2} } \\d=\sqrt{1^{2}+3^{2} } \\d=\sqrt{10} =3.16[/tex]
CF:
C(-1,2) F(1,1)
[tex]d=\sqrt{(1--1)^{2} +(1-2)^{2} } \\d=\sqrt{2^{2}+-1^{2} } \\d=\sqrt{4+1} \\d=\sqrt{x} 5=2.24[/tex]
FE
F(1,1) E(2,-2)
[tex]d=\sqrt{(2-1)^{2} +(-2-1)^{2} } \\d=\sqrt{1^{2} +(-3)^{2} } \\d=\sqrt{1+9} \\d=\sqrt{10}= 3.16[/tex]
ED
E(2,-2) D(-2,-1)
[tex]d=\sqrt{(-2-2)^{2} +(-1--2)^{2} } \\d=\sqrt{(-4)^{2}+1^{2} } \\d=\sqrt{16+1} \\d=\sqrt{17}= 4.12\\[/tex]
3.16+2.24+3.16+4.12= 12.68
