Question

What is the centroid location of the following complex shape?

a) (2, 4)
b) (3, 5)
c) (4, 6)
d) (5, 7)

Answer 1

The centroid of the complex shape is located at (3.5, 5.5).

Step-by-step explanation:

The centroid of a complex shape can be found by taking the average of the x-coordinates and the average of the y-coordinates of all the points that make up the shape. In this case, we have four points: (2, 4), (3, 5), (4, 6), and (5, 7).

To find the x-coordinate of the centroid, add up the x-coordinates of all the points and divide the sum by the number of points. (2 + 3 + 4 + 5) / 4 = 14 / 4 = 3.5.

To find the y-coordinate of the centroid, do the same with the y-coordinates. (4 + 5 + 6 + 7) / 4 = 22 / 4 = 5.5.

Therefore, the centroid of the complex shape is located at (3.5, 5.5).