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A regular hexagon has a side length of 2 inches.What is the perimeter of the hexagon?What is the area of the hexagon?

Sagot :

ANSWER:

12 inches

6√ 3 in^2

STEP-BY-STEP EXPLANATION:

The perimeter is the sum of all the sides, a hexagon has 6 sides, therefore the perimeter would be:

[tex]p=6\cdot2=12\text{ inches}[/tex]

The area of the hexagon is given by the following equation:

[tex]\begin{gathered} A=\frac{3\sqrt[]{3}\cdot s^2}{2} \\ \text{ Replacing:} \\ A=\frac{3\sqrt{3}\cdot2^2}{2}=6\sqrt[]{3}in^2 \end{gathered}[/tex]