Respuesta :

irspow
The area of any regular polygon can be expressed as:

a(n,s)=(ns^2)/(4tan(180/n)), where n=number of sides and s=side length

(notice apothem is not needed :P)

a(6,5)=(6*5^2)/(4tan(180/6)

a(6,5)=37.5/tan30

a(6,5)≈64.95 units (to nearest hundredth of a unit)
6·(1/2)·5·(4.33) = 64.95in²