On the first picture, you have the length of the triangle as 300. If the total length of the door is 1265, and the rectangle is 825, why wouldn't the triangle's length be 440 and not 300

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Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.