Find the side $ a $ of a hexagon if area $A = 24$.
Answer
$a = 3.0393$
Explanation
To find side $ a $ use formula:
$$ A = \dfrac{ 3 \sqrt{ 3 } \cdot a^2 }{ 2 }$$After substituting $ A = 24 $ we have:
$$ 24 = \dfrac{ 3 \sqrt{ 3 } \cdot a^2 }{ 2 }$$ $$ 24 \cdot 2 = 3 \sqrt{ 3 } \cdot a^2 $$ $$ 48 = 3 \sqrt{ 3 } \cdot a^2 $$ $$ a^2 = \dfrac{ 48 }{ 3 \sqrt{ 3 } } $$ $$ a^2 = \frac{ 16 \sqrt{ 3}}{ 3 } $$ $$ a = \sqrt{ \frac{ 16 \sqrt{ 3}}{ 3 } } $$$$ a \approx 3.0393 $$This page was created using
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