Inactive Tutor answered 12/14/14
Tutor
New to Wyzant
If you doodle a picture, you shall see that it is one pentagon with a pentagon attached to each of the five sides.
The center pentagon does not contribute to the perimeter. Each of the five surrounding pentagons provide 4 cm. to the perimeter (the fifth side is attached to the center).
The perimeter is 5 · 4 or 20 cm.