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lianna [129]
2 years ago
15

Find the area of a regular 12-sided polygon with side of length s and apothem 8.

Mathematics
2 answers:
aliina [53]2 years ago
5 0
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
Alinara [238K]2 years ago
5 0

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



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