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:
[tex]A=\dfrac{n\times s\times a}{2}[/tex]
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 [tex]n=5,s=8,a=6[/tex] in the above formula, we get
[tex]A=\dfrac{5\times 8\times 6}{2}[/tex]
[tex]A=\dfrac{240}{2}[/tex]
[tex]A=120[/tex]
The area of the regular pentagon is 120 cm². Therefore, the correct option is C.
