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

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Look at the picture.

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

The formula of the equilateral triangle with the leg a:


A_\Delta=(a^2\sqrt3)/(4)

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


A=6\cdot(a^2\sqrt3)/(4)=(3a^2\sqrt3)/(2)

We have a = 12cm. Substitute:


A=(3\cdot12^2\sqrt3)/(2)=(3\cdot144\sqrt3)/(2)=3\cdot72\sqrt3=216\sqrt3\ cm^2
What is the area of a regular hexagon with a side length of 12 cm With process please-example-1
User Youssef Moussaoui
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