Answer :
apothem is the height of a triangel formed by two consecutive vertices with the center. the are of this triangle = 1/2 s 8 = 4s
there area 12 such triangles in the regular 12 side polygon
So area = 12 * 4 s = 48 s
there area 12 such triangles in the regular 12 side polygon
So area = 12 * 4 s = 48 s
[tex]
If\ this\ is\ regular\ 12-sides\ polygon\ it\ is\ build\ from\ 12\ isosceles\\triangles.\\\\
apothem=height\ of\ triangle\\\
side=base\ of\ triangle\\\\
Area\ of\ one\ triangle:\\
A=\frac{s*apothem}{2}=\frac{s*8}{2}=4s\\\\
Area\ of\ polygon\ =12*A=12*4s=48s
[/tex]