Find the long diagonal $ d $ of a hexagon if perimeter $P = 84$.
Answer
$d = 28$
Explanation
STEP 1: find side $ a $
To find side $ a $ use formula:
$$ P = 6 \cdot a $$After substituting $ P = 84 $ we have:
$$ 84 = 6 \cdot a $$ $$ a = \dfrac{ 84 }{ 6 } $$ $$ a = 14 $$STEP 2: find diagonal $ d $
To find diagonal $ d $ use formula:
$$ d = 2 \cdot a $$After substituting $ a = 14 $ we have:
$$ d = 2 \cdot 14 $$ $$ d = 28 $$This page was created using
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