AnyiQ383528 AnyiQ383528
  • 03-11-2022
  • Mathematics
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Find the area of a regular hexagon with side lengths of 12 in.

Find the area of a regular hexagon with side lengths of 12 in class=

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AnaahatR491526 AnaahatR491526
  • 03-11-2022

Answer:

[tex]216\sqrt{3\text{ }}\text{ in}^2[/tex]

Explanation;

Here, we want to get the area of the regular hexagon

Mathematically, we have that as:

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

where a represents the length of one of the sides which is 12 in

Substituting the value, we have it that:

[tex]\begin{gathered} A\text{ = }\frac{3\sqrt{3}}{2}\times\text{ 12}^2 \\ \\ A\text{ = 216}\sqrt{3\text{ }}\text{ in}^2 \end{gathered}[/tex]

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