This is 18 plus 6, over 2. So what would we get if we multiplied this long base 6 times the height 3? Well, then the resulting shape would be 2 trapezoids, which wouldn't explain how the area of a trapezoid is found. 6th grade (Eureka Math/EngageNY). Why it has to be (6+2). 6 6 skills practice trapezoids and kites form g. And what we want to do is, given the dimensions that they've given us, what is the area of this trapezoid. Adding the 2 areas leads to double counting, so we take one half of the sum of smaller rectangle and Area 2.
So let's just think through it. So it completely makes sense that the area of the trapezoid, this entire area right over here, should really just be the average. So we could do any of these. 5 then multiply and still get the same answer? Created by Sal Khan. So that would give us the area of a figure that looked like-- let me do it in this pink color. Well, now we'd be finding the area of a rectangle that has a width of 2 and a height of 3. 6 6 skills practice trapezoids and kites. Or you could also think of it as this is the same thing as 6 plus 2. How do you discover the area of different trapezoids? What is the length of each diagonal? So it would give us this entire area right over there. Also this video was very helpful(3 votes). Okay I understand it, but I feel like it would be easier if you would just divide the trapezoid in 2 with a vertical line going in the middle.
You could view it as-- well, let's just add up the two base lengths, multiply that times the height, and then divide by 2. Therefore, the area of the Trapezoid is equal to [(Area of larger rectangle + Area of smaller rectangle) / 2]. I'll try to explain and hope this explanation isn't too confusing! And this is the area difference on the right-hand side. Now, the trapezoid is clearly less than that, but let's just go with the thought experiment. So right here, we have a four-sided figure, or a quadrilateral, where two of the sides are parallel to each other. Well, that would be the area of a rectangle that is 6 units wide and 3 units high. So when you think about an area of a trapezoid, you look at the two bases, the long base and the short base. So you multiply each of the bases times the height and then take the average. Sal first of all multiplied 6 times 3 to get a rectangular area that covered not only the trapezoid (its middle plus its 2 triangles), but also included 2 extra triangles that weren't part of the trapezoid. In Area 2, the rectangle area part. Area of trapezoids (video. Want to join the conversation? Multiply each of those times the height, and then you could take the average of them.
Maybe it should be exactly halfway in between, because when you look at the area difference between the two rectangles-- and let me color that in. Now let's actually just calculate it. Or you could say, hey, let's take the average of the two base lengths and multiply that by 3. 𝑑₁𝑑₂ = 2𝐴 is true for any rhombus with diagonals 𝑑₁, 𝑑₂ and area 𝐴, so in order to find the lengths of the diagonals we need more information. You're more likely to remember the explanation that you find easier. It should exactly be halfway between the areas of the smaller rectangle and the larger rectangle. I hope this is helpful to you and doesn't leave you even more confused! So what Sal means by average in this particular video is that the area of the Trapezoid should be exactly half the area of the larger rectangle (6x3) and the smaller rectangle (2x3). So what do we get if we multiply 6 times 3? What is the formula for a trapezoid?
Can't you just add both of the bases to get 8 then divide 3 by 2 and get 1. So these are all equivalent statements. Now, what would happen if we went with 2 times 3? Well, that would be a rectangle like this that is exactly halfway in between the areas of the small and the large rectangle. 6 plus 2 times 3, and then all of that over 2, which is the same thing as-- and I'm just writing it in different ways. That is a good question! It's going to be 6 times 3 plus 2 times 3, all of that over 2. At2:50what does sal mean by the average. 6 plus 2 is 8, times 3 is 24, divided by 2 is 12. A width of 4 would look something like that, and you're multiplying that times the height.