As you look at the table to estimate, I'm just copying down the values. Uh it's up to you because they don't tell you which room on some to use left or right. Um But if you were to draw this graph out 15, 11 and nine into your X. Values and then these are your Y. Values. So if you were to graph this, uh starting at 00 up to 32 then three down to 22 I'm just gonna use left riemann sums. So the quick way of thinking in this area of a rectangle would be the length of its width, which is three because it goes from 0-3 and I'm going to make the height 32 because that's how high it went up. Um so as I look at the next rectangle because it goes from 322-6 15. Uh But if I continue to use a left Um from 3-6 still has a width of three. And then this height, I mean you use 22. I'm trying to color code is so you can see, so as I do the next one, uh so he goes to 9 11, So I'm still using the left, so I'm using this value has a width of three. Still 6-9 is a width of three, height is 15, and then the last one, I don't know, I'm switching to blue now of all the colors, Even though this last point is 12 9 I'm using left. So I mean it was the height of 11, but so is a base of three. So to do this problem, you just do you know base times height plus base times height plus based on type ran out of room, but plus base times height. And I'm just going to a calculator and my answer may be different than the answer keys, but it's an approximation, so it doesn't really matter. I got 240, but you might get a different approximation if you did the right sums, if you did the right sums b. These four values instead of 32 at 22, 15, 11 and nine. Um and there's other approximations to, but this is good.