Now why is this interesting? Well, the area of theĮntire parallelogram, the area of the entire parallelogram is going to be the length of Our original triangles right over here, you saw me do it, I copied and pasted it,Īnd then I flipped it over and I constructed the parallelogram. Of our original triangle, 'cause I have two of I have now constructed a parallelogram that has twice the area Original area, and you see something very interesting is happening. So let me copy, and then let me paste it, and what I'm gonna do is, so now I have two of the triangles, so this is now going to be twice the area, and I'm gonna rotate it around, I'm gonna rotate it around like that, and then add it to the Well, to think about that, let me copy and paste this triangle. Triangle going to be, and you can imagine it's going to be dependent on base and height. So that is a triangle, and we're given the base and the height, and we're gonna try to think about what's the area of this Is base times height, because we're now going to use that to get the intuition for So hopefully that convinces you that the area of a parallelogram It's still going to be base times height. Of that parallelogram was the same as thisĪrea of the rectangle.
To the right-hand side to show you that the area I didn't add or take awayĪrea, I just shifted area from the left-hand side Of this parallelogram is base times height. Moving that area over, and that's why the area
I'm able to construct the same rectangle by The height is the same, as this rectangle here, To the right-hand side, and just like that, you see that, as long as the base and Section right over there, and then we move it over We said, "Hey, let's take this "little section right over here." So we took that little Now, it's not as obvious when you look at the parallelogram, but in that video, we did a little manipulation of the area. In another video, we saw that, if we're looking at theĪrea of a parallelogram, and we also know the length of a base, and we know its height, then the area is still going to be base times height. The area of a rectangle isĮqual to base times height. We know that we can find the area of a rectangle by multiplying the base times the height.
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