Final answer:
The perimeter of triangle AA'B'C' after dilating triangle ABC by a scale factor of 2 is 26 cm.
Step-by-step explanation:
To find the perimeter of triangle AA'B'C' after dilating triangle ABC by a scale factor of 2, we need to multiply the perimeter of ABC by the scale factor. Since the perimeter of ABC is 13 cm, the perimeter of AA'B'C' will be 13 * 2 = 26 cm.