To find area $ A $ use formula:
$$ A = \dfrac{ \sqrt{ 3 } \cdot a^2 }{ 4 } $$After substituting $ a = 2 $ we have:
$$ A = \dfrac{ \sqrt{ 3 } \cdot 2^2 }{ 4 } $$ $$ A = \dfrac{ \sqrt{ 3 } \cdot 4 }{ 4 }$$ $$ A = \dfrac{ 4 \sqrt{ 3 } }{ 4 }$$ $$ A = \sqrt{ 3 } $$