The area of regular octagon is [tex]77.25cm^{2}[/tex]
Regular Octagon :
The area of regular octagon is given as,
[tex]Area=2(1+\sqrt{2} )*s^{2}[/tex]
Where s is side of octagon.
Given that, side of octagon is 4cm.
Substitute values in above formula.
[tex]Area=2(1+\sqrt{2} )*4^{2} \\\\Area=32(1+1.414)\\\\Area=32*2.414=77.25cm^{2}[/tex]
Learn more about the Octagon here:
https://brainly.com/question/4515567
