Final answer:
The length of the base of the rectangle is 8 millimeters.
Step-by-step explanation:
To find the length of the base of the rectangle, we can use the formula for the perimeter of a rectangle, which is P = 2(Length + Width). In this case, we know that the perimeter is 20 millimeters and the height is 2 millimeters. We'll let the length be represented by L:
P = 2(L + 2) = 20
2L + 4 = 20
2L = 16
L = 8
Therefore, the length of the base of the rectangle is 8 millimeters.