Respuesta :

we can use the formula of the area of a regular hexagon

[tex]A=6(\frac{L^2\sqrt[]{3}}{4})[/tex]

where L is the length of the side

replacing

[tex]\begin{gathered} A=6(\frac{(15)^2\sqrt[]{3}}{4}) \\ \\ A=\frac{3}{2}(225\sqrt[]{3}) \\ \\ A=584.567\approx584.6 \end{gathered}[/tex]

rounded Area of the hexagon is 584.6 square centimeters

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