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
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The area of any regular polygon with n sides of length s is
{{{ns^2*cot(180/n)/4}}}
{{{144 = ns^2*cot(180/n)/4}}}
{{{144 = 6s^2*cot(30)/4}}}
{{{144 = 6s^2*sqrt(3)/4}}}
{{{s^2 = 32sqrt(3)}}}
{{{s^2 = 16sqrt(12)}}}
{{{s = 4sqrt(sqrt(12))}}}
s =~ 7.44484 cm
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The sides' measurement are these: 
x:10:6:x
I don't know what that means.