00:01
Before we answer the questions, let's look at the relationship between the areas of these shapes.
00:05
So we have our whole hexagon right here.
00:08
And if i cut that in half, then i see that i get this shape right here in this region.
00:16
So we could say that this area is half of the original.
00:20
So now let's come over here and look and see what happens.
00:23
When we draw this line right here, let's see i get this triangle there.
00:31
So if i go and i create a whole bunch of those little triangles, i see i create six of them.
00:37
So then this triangle would be one of those.
00:40
Let's put it right here.
00:42
So that would be one -sixth of the original hexagon.
00:47
Then if i look for this region here, i can draw me, see that in here and here.
00:55
You might visual a little bit better if i put a triangle there.
00:58
So that's going to be two -sixth or one -third.
01:02
Of the original.
01:04
So here we have the original is one.
01:06
This would be one half, one third, and one sixth.
01:11
Now let's go answer this.
01:13
If the hexagon is one, then what's the value of each one of the other three pieces? well, we just answered that.
01:19
This is our trapezoid.
01:20
This is going to be our rhombus, and this is going to be our triangle.
01:24
So the trapezoid would be one half...