Let's do this question why in the area of a regular hexagon which has a perimeter of 18 centimeter.
All right, what's the video?
Give it a try and then let's do it together.
All right.
We are back now over here.
We have a regular hexagon so I can ride like this, right?
We can divide this regular hexagon into six equilateral triangles.
All right.
Now, over here, it's given that the perimeter is equal to 18.
So if the side of the hexagon is E, all the sides will be of length because it's a regular hexagon
and six M will be equal to 18.
Right.
So because you have six sites, one, two, three, four, five, six.
So you have six sites.
That's why the perimeter, which is 18, is equal to six if we can find the side of the hexagon as three
centimeter.
All right.
Now let's drop a perpendicular from this vertex to decide to let that be of length.
It's now you have an equilateral triangle over here, so and the side of the triangle is equal to eight.
But we have learned before that you can find that edge is equal to room three by two.
It right.
And the area of this equilateral triangle will be off base into height.
That's half in to rule three by two it right now over here you have six congruent triangles.
Right.
And you need to find the area.
So you just need to find the area of one, which is this over here and multiply it with six and you
can substitute a three centimeter over here to the area of this hexagon is equal to six into one by
two into three into room three by two into three.
Right.
And that gives you the answer as twenty seven, row three by two centimeter square.