 In this next example, we need to find the area of hexagon EFGHJK. First, plot each of those points. Now, when connecting these points, make sure that you connect in order of the name of the polygon. In this case, the name of the polygon was EFGHJK. And then back to E. And so, to find the area of this hexagon, we'll need to split it up into simpler shapes. Into shapes that we know how to find the area of. Now, we've talked about finding the area of triangles. So, if I split from E to G, then this top piece is a triangle. And I can do the same trick with this triangle down below. And the leftover shape, this kind of shape made by EGHK. I know it's a trapezoid. The reason I know that is EG and HK are both on grid lines. And so that means they're parallel. And so that means that we have a trapezoid. So, to find the area of the combined region, we'll first find the area of this blue triangle. And remember, triangles are found with area equals one-half base times height. And the base, in this case, would be one, two, three, four, five, six units long. And the height, remember, the height is the perpendicular distance to the base. The height is two. So, the area in this case would be one-half times six times two, which is six. So, the top region is six square units. The trapezoid, this red shape, remember trapezoids are found with the area formula one-half times the sum of the bases, B1 plus B2, parenthesis, times the height of the trapezoid. Now, we already have one of the bases. We know that this length is six. This length is one longer. It's seven. And the height of the trapezoid is the distance between the two bases. So, this distance, if we can count boxes, is one, two, three, four units tall. So, the area of this trapezoid is one-half times the quantity six plus seven times four. And if you stick that into a calculator, you get that that is 26 units. And finally, the triangle down below. Again, area of triangle is half base times height. And if we consider seven as the base, and remember, base and height are perpendicular. So, the height would be two. The area would be one-half times seven times two, which of course is just seven. And so, the combined area is six plus 26 plus seven, which equals 39 square units. Now, it's worth mentioning that this is not the only way to split up the original hexagon. It is possible to split it up into different ways. Here's one possibility. You could have split it up into this blue triangle, this purple triangle, green triangle, red triangle, and yellow triangle, and this kind of gray rectangle. And if you chose to do that, well, we know that this blue triangle would be one-half times four times two, which would be four. This purple triangle would be one-half times two times two, which is two. This green triangle is one-half times two times four, sorry, one-half times one times four, which is two. This sort of reddish triangle would be one-half times four times two, which is four. This yellow triangle would be one-half times three times two, which is three. And the rectangle that's left over would be length times width, which is six times four, which is 24. And we have four plus two is six, plus two is eight, plus four is 12, plus three is 15, plus 24 is 39. So we have 39 square units. So the point in showing you this slide is there's no one right way to split up a polygon. The key is to make sure that you fill in the polygon in order of the letters given to you, EFGHJK in this case, and then split it up into simpler shapes.