Question

Se a medida do segmento OA é 4, então a área do hexágono ABCDEF é:
a) 12√3
b) 24√3
c) 26√3
d) 30√3
e) 36√3

Answer 1

Área do hexagono regular de aresta $\underline{\huge\mathsf{\ell}}$

$\huge\boxed{\boxed{\boxed{\boxed{\mathsf{A=\dfrac{3\cdot\ell^2\sqrt{3}}{2}}}}}}$

$\dotfill$

$\mathsf{\overline{OA}=\overline{AB}=\ell=4~cm}\\\mathsf{A=\dfrac{3\cdot\ell^2\sqrt{3}}{2}}\\\mathsf{A=\dfrac{3\cdot4^2\sqrt{3}}{2}}\\\huge\boxed{\boxed{\boxed{\boxed{\mathsf{A=24~\sqrt{3}~u\cdot~a}}}}}$

$\dotfill$

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