Respuesta :

[tex]1039.23cm^2[/tex]

Explanation

the area of a Hexagon is given by:

[tex]A=\frac{3\sqrt[]{3}s^2}{2}[/tex]

where s is the length of the side

then,let

side= s=20 cm

Now, replace.

[tex]\begin{gathered} A=\frac{3\sqrt[]{3}s^2}{2} \\ A=\frac{3\sqrt[]{3}(20\operatorname{cm})^2}{2} \\ A=\frac{3\sqrt[]{3\text{ }}\cdot400\operatorname{cm}^2}{2} \\ A=3\sqrt[]{3\text{ }}\cdot200\operatorname{cm} \\ A=\sqrt[]{3\text{ }}\cdot600\operatorname{cm} \\ A=1039.23cm^2 \end{gathered}[/tex]

so, the answer is 1039.23 square centimeters

I hope this helps you

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