Answer :

In order to find the length of the side CD in the pentagon ABCDE we would need to find the distance between the two points (4,-2) and (8, 2)

We would use the following formula:

[tex]d=\sqrt[]{(x1-x2)^2+(y1-y2)^2}[/tex]

plug in x1= 4, x2= 8, y1=-2, y2=2

So,

[tex]d=\sqrt[]{(4-8)^2+(-2-2)^2}[/tex][tex]d=\sqrt[]{(-4)^2+(-4)^2}[/tex][tex]d=\sqrt[]{32}[/tex]

d=5,65

The length of the side CD in the pentagon ABCDE would be 5,62