Question 634927
Imagine you cut the octagon into triangles by drawing segments from the center to the vertices.


Area of one triangle (in the octagon):


A = (bh)/2


A = (15.5*18.7)/2


A = 144.925


So one triangle has an area of 144.925 m^2. This means that 8 of these equal triangles have a total area of 8*144.925 = <font color="red">1159.4 m^2</font>