Answer:
181.02 unit^2
Step-by-step 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