Aregular octagon has a side length of 27 m. find the area if the apothem is 32.6 m. a. 440.1 m b. 880.2 m c. 3,520.8 m d. 7,063.2m

The apothem is the distance from the center to the midpoint of a side.  You can make a right triangle out of the apothem, half a side, and a line from the center to the corner.  Its base is half a side so 13.5 and its height is 32.6.  The area of the triangle is 13.5*32.6*1/2 = 220.05.  There are 16 of these triangles in the octagon (2*8).  220.05*16 = 3520.8.

The answer is all about the number 4