Answer: [tex]9.66\ units[/tex]
Step-by-step explanation:
The triangle CDE is shown in the image attached.
The formula for calculate the distance between two points is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Then, we can calculate the lenght of each side of the triangle:
[tex]d_{CD}=\sqrt{(4-4)^2+(-5-(-1))^2}=4\ units\\\\d_{DE}=\sqrt{(4-2)^2+(-5-(-3))^2}=2.828\ units\\\\d_{CE}=\sqrt{(2-4)^2+(-3-(-1))^2}=2.828\ units[/tex]
Therefore, the perimeter is:
[tex]P=4\ units+ 2.828\ units+2.828\ units=9.66\ units[/tex]
