Answer:
[tex]\large\boxed{s\approx8.71\ cm}[/tex]
Step-by-step explanation:
The formula of an area of a regular polygon:
[tex]A=\dfrac{nsa}{2}=\dfrac{pa}{2}[/tex]
n - number of sides
s - side
a - apothem
p - perimeter
We have n = 5, s, a = 6 cm and A ≈ 130.8 cm².
Substitute:
[tex]130.8=\dfrac{(5)(s)(6)}{2}\\\\130.6=\dfrac{30s}{2}\\\\130.6=15s\qquad\text{divide both sides by 15}\\\\s\approx8.71[/tex]
