00:01
All righty.
00:02
So for number 14, we're supposed to be drawing two different sketches with areas of trapezoid equaling 56.
00:10
So in order to do that, we kind of have to keep in mind that our sketches of trapezoids can have different looks.
00:17
So, for example, this is a common trapezoid.
00:24
Another way you could draw it is like that.
00:31
And so how you do this, is also remember that you're going to need two different bases, and you're going to need a height.
00:39
In this picture that i drew here, the bases are on their sides, which is okay, and the height is here.
00:46
So what we need to do is, first of all, plug into the formula and kind of work backwards from there.
00:53
So 56 is the area that's equal to one -half the height times base 1 plus base 2.
01:02
And so what we need to do, first of all, is get rid of that one half to see what number we're going to work with.
01:09
So we're going to multiply both sides by two to get that to go away.
01:13
So 56 times 2 is 112.
01:17
So now i have a height getting multiplied by two bases getting added up together.
01:25
So the easiest way to approach this is to go ahead and let your height be equal to a good.
01:32
Number that is divisible by 112.
01:35
So for example, i'm going to let the height equal two, just to keep it simple.
01:43
So if i let the height equal two, for example, i now can divide 112 by two, which i know sounds kind of counterproductive because we just multiplied by the 56 by 2.
01:56
So we know that that's 56.
01:58
So now what i need to do is i need to go pick b1 and b2.
02:03
And remember, we're adding those numbers up.
02:06
So any numbers that add up to 56 can be my base.
02:10
Now, we wanted to kind of look kind of realistic to the sketch.
02:15
So it wouldn't make sense to necessarily have 1 and 55, for example, because that's going to be kind of hard, weird to draw.
02:24
So let's kind of keep it simple.
02:26
I'm going to let base 1 be 30 and then 26.
02:32
We'll keep that simple...