Answer:
A = 946.37 [tex]units^{2}[/tex] (approximately)
Step-by-step explanation:
The equation of the area of an octagon is [tex]2a^{2}[/tex](1 + [tex]\sqrt{2}[/tex]) where a = side length. In your question, the side length you were given was 14, so plug 14 into the equation in place of a.
So now the equation looks like 2([tex]14^{2}[/tex])(1 + [tex]\sqrt{2}[/tex])
2(196)(1 + [tex]\sqrt{2}[/tex])
392(1 + [tex]\sqrt{2}[/tex]) now use the distributive property
(392 + 392 [tex]\sqrt{2}[/tex]) = 946.37 [tex]units^{2}[/tex]
Hope this helps!
