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Find the area of the regular polygon . Area = (Round to the nearest tenth as needed)

Find the area of the regular polygon . Area = (Round to the nearest tenth as needed-example-1

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\text{Area}=374.1\text{ square ft}

Step-by-step explanation

the area of a hexagon is given by


\begin{gathered} \text{Area}=\frac{3\sqrt[]{3}s^2}{2} \\ \end{gathered}

let

s=12

replace,


\begin{gathered} \text{Area}=\frac{3\sqrt[]{3}s^2}{2} \\ \text{Area}=\frac{3\sqrt[]{3}(12)^2}{2} \\ \text{Area}=\frac{3\sqrt[]{3}\cdot144}{2} \\ \text{Area}=3\sqrt[]{3}\cdot72 \\ \text{Area}=374.122 \\ \text{rounded ot the nearest then} \\ \text{Area}=374.1\text{ square ft} \end{gathered}

I hope this helps you

User Yasir Laghari
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