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frutty [35]
3 years ago
9

What is the area of a regular hexagon with a side length of 12 cm With process please

Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0
Look at the picture.

The area of the hexagon is equal six times the area of the <span>equilateral triangle.

The formula of the </span><span>equilateral triangle with the leg a:

A_\Delta=\dfrac{a^2\sqrt3}{4}

Therefore the formula of the area of the hexagon with a side lenght a is:

A=6\cdot\dfrac{a^2\sqrt3}{4}=\dfrac{3a^2\sqrt3}{2}

We have a = 12cm. Substitute:

A=\dfrac{3\cdot12^2\sqrt3}{2}=\dfrac{3\cdot144\sqrt3}{2}=3\cdot72\sqrt3=216\sqrt3\ cm^2
</span>

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