Step 1 :Given the coordinates of points C and D as C = (-4, 6) and D = (-4, -5) respectively.
Step 2 :Since they have the same x-coordinate, the length of side CD of the rectangle can be calculated by finding the difference in the y-coordinates of points C and D.
Step 3 :This is because the length of a vertical line segment in the coordinate plane is the difference in the y-coordinates of its endpoints.
Step 4 :So, the length of side CD = |6 - (-5)| = 11.
Step 5 :Final Answer: The length of side CD of the rectangle is \(\boxed{11}\) units.