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A regular hexagon has a perimeter of $p$ (in length units) and an area of $A$ (in square units). If $A = \frac{3}{2},$ then find the side length of the hexagon.

 Jun 3, 2024
 #1
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A  = 6(1/2) s^2  sqrt (3) / 2

 

3/2 = (3/2)   sqrt (3)  s^2

 

1 = sqrt (3)  s^2

 

1/sqrt 3  = s^2

 

s =  sqrt (1 /sqrt 3)  =  1 / 4√3 

 

cool cool cool

 Jun 3, 2024

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