00:01
In this problem, we're given the coordinates negative one zero, negative one four, three zero, and three four, and we're asked to find the area and centroid of the figure.
00:13
So if we graph these points, we'll notice that we get a square.
00:18
And to find the centroid, we're just going to take the average of the x values and the y values given to us.
00:25
So, in our problem, our x values are negative 1, negative 1, 3, and 3.
00:35
So we can write negative 1 minus 1 plus 3 plus 3, all divided by 4.
00:48
And for our y values, we get 0, 4, 0, and 4.
00:54
So i'm not going to write out those zeros, i'm just going to write out our 4s, so we get 4, plus 4 divided by 4.
01:05
So if we simplify this, negative 1 minus 1 is negative 2, negative 2 plus 3 is 1, and 1 plus 3 is 4.
01:17
So we give 4 over 4.
01:21
And for our y value, 4 plus 4 is 8, so we get 8 over 4...
