Final answer:
The exact coordinates of the rectangle centroid can be found by taking the average of the x-coordinates and the average of the y-coordinates of its vertices.
Step-by-step explanation:
The centroid of a rectangle can be found by taking the average of the x-coordinates and the average of the y-coordinates of its vertices. Let's say the rectangle has vertices A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). To find the x-coordinate of the centroid, you add the x-coordinates of all the vertices and divide the sum by 4. Similarly, to find the y-coordinate of the centroid, you add the y-coordinates of all the vertices and divide the sum by 4.
For example, if the vertices of the rectangle are A(1.2, 1.2), B(1.2, 1.3), C(1.3, 1.3), and D(1.3, 1.2), the x-coordinate of the centroid would be (1.2 + 1.2 + 1.3 + 1.3)/4 = 1.25 and the y-coordinate of the centroid would be (1.2 + 1.3 + 1.3 + 1.2)/4 = 1.25. Therefore, the exact coordinates of the rectangle centroid would be (1.25, 1.25).