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Let's do this question why in the area of a regular hexagon which has a perimeter of 18 centimeter.

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All right, what's the video?

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Give it a try and then let's do it together.

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All right.

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We are back now over here.

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We have a regular hexagon so I can ride like this, right?

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We can divide this regular hexagon into six equilateral triangles.

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All right.

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Now, over here, it's given that the perimeter is equal to 18.

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So if the side of the hexagon is E, all the sides will be of length because it's a regular hexagon

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and six M will be equal to 18.

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Right.

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So because you have six sites, one, two, three, four, five, six.

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So you have six sites.

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That's why the perimeter, which is 18, is equal to six if we can find the side of the hexagon as three

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centimeter.

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All right.

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Now let's drop a perpendicular from this vertex to decide to let that be of length.

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It's now you have an equilateral triangle over here, so and the side of the triangle is equal to eight.

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But we have learned before that you can find that edge is equal to room three by two.

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It right.

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And the area of this equilateral triangle will be off base into height.

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That's half in to rule three by two it right now over here you have six congruent triangles.

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Right.

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And you need to find the area.

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So you just need to find the area of one, which is this over here and multiply it with six and you

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can substitute a three centimeter over here to the area of this hexagon is equal to six into one by

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two into three into room three by two into three.

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Right.

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And that gives you the answer as twenty seven, row three by two centimeter square.