Respuesta :

Answer:

181.02 unit^2

Explanation:

Sum of interior angles of octogon  (n-2)(180 = 1080

   each interior angle = 1080/8 = 135

       see figure below    Find side length = 6.1229 via Law of sines

          height of triangle =  sqrt (8^2 - (6.1229/2)^2) = 7.391

               area of triangle =  1/2 (6.1229) * (7.391) = 22.627

                    there are 8 of these triangles   so multiply this by 8 to get

                            area = 181 . 02  

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