SOLUTION: Find the length (x) of the hexagon, if its area is 144 cm^2. The sides' measurement are these: x:10:6:x

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Question 321306: Find the length (x) of the hexagon, if its area is 144 cm^2. The sides' measurement are these:
x:10:6:x
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the length (x) of the hexagon, if its area is 144 cm^2. The sides' measurement are these:
x:10:6:x
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The area of any regular polygon with n sides of length s is
ns%5E2%2Acot%28180%2Fn%29%2F4
144+=+ns%5E2%2Acot%28180%2Fn%29%2F4
144+=+6s%5E2%2Acot%2830%29%2F4
144+=+6s%5E2%2Asqrt%283%29%2F4
s%5E2+=+32sqrt%283%29
s%5E2+=+16sqrt%2812%29
s+=+4sqrt%28sqrt%2812%29%29
s =~ 7.44484 cm
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The sides' measurement are these:
x:10:6:x
I don't know what that means.