Question

Can someone help please

Answer 1

`\large\boxed{s\approx8.71\ cm}`

Explanation:

The formula of an area of a regular polygon:

`A=(nsa)/(2)=(pa)/(2)`

n - number of sides

s - side

a - apothem

p - perimeter

We have n = 5, s, a = 6 cm and A ≈ 130.8 cm².

Substitute:

`130.8=((5)(s)(6))/(2)\\\\130.6=(30s)/(2)\\\\130.6=15s\qquad\text{divide both sides by 15}\\\\s\approx8.71`