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

 May 24, 2024
 #1
avatar+129511 
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Area of a hexagon =  6* (1/2) s^2* sqrt (3)/2      where s is  the side length

 

So

 

3 = 6 * (1/2) * s^2 * sqrt (3) / 2

 

3 = 3*  s^2 * sqrt (3) / 2

 

s^2 = 2/sqrt (3)

 

s = sqrt [ 2 / sqrt 3] ≈ 1.075

 

cool cool cool

 May 24, 2024

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