Given:
A regular pentagon with side 8 cm and apothem 6 cm.
To find:
The area of the given regular pentagon.
Solution:
The area of a regular polygon is:

Where, n is the number of sides of the regular polygon, s is the side length and a is the apothem.
In a regular pentagon the number of sides is 5.
Substituting
in the above formula, we get



The area of the regular pentagon is 120 cm². Therefore, the correct option is C.