What is the centre of gravity of trapezium derivation?

The center of gravity (centroid) of a trapezium can be derived using the method of dividing it into simpler shapes. By splitting the trapezium into a rectangle and two triangles, the centroids of these individual shapes can be calculated based on their geometric properties. The overall centroid is then found by taking the weighted average of their positions, considering the area of each shape. The final formula for the x-coordinate of the centroid of a trapezium with bases (a) and (b) and height (h) is given by ( \frac{b + 2a}{3(a + b)} ) from the larger base, while the y-coordinate is at ( \frac{h}{3} ).