The formula for the area of a regular hexagon is in the image below, with the lowercase a being the variable for a side. As the side of this figure is equal to 4 cm, we can solve this problem relatively easily.
4 squared is 16. 3 times √3 is about 5.19. For ease of calculations, we'll round this to 5.2. 5.2 divided by 2 is equal to 2.6. 2.6 times 16 is equal to 41.6.
Therefore, the area of this figure is about 41.6 cm