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find the area of a hexagon with sides 20 mm long. Round your answer to the nearest tenth

Sagot :

When you know the length of the sides of a hexagon you use the next formula to find its area:

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

s is the length of the sides

For the given hexagon:

[tex]\begin{gathered} A=\frac{3\sqrt{3}}{2}(20mm)\placeholder{⬚}^2 \\ \\ A=\frac{3\sqrt{3}}{2}(400mm^2) \\ \\ A=3\sqrt{3}(200mm^2) \\ \\ A=600\sqrt{3}mm^2 \\ \\ A\approx1039.2mm^2 \end{gathered}[/tex]Then, the area of the given hexagon is 1039.2 square millimeters
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