At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Connect with a community of experts ready to provide precise solutions to your questions on our user-friendly Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Find the area of a regular 12-sided polygon with side of length s and apothem 8.
(Give your answer in terms of s.)


Sagot :

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
luana
[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]