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Thecentroidy of the given area is located at 2/3 of the height of the shape.To locate the centroid y of the given area, we need to find the vertical distance from the base of the shape to the centroid. The centroid is the point where the geometriccenterof the area lies.In this case, we have a shape with a base length of 9 units and a height of 6 units. The base of the shape is parallel to the x-axis. To find the centroid, we divide the height of the shape by 3.Centroid y = (1/3) * HeightSubstituting the given values:Centroid y = (1/3) * 6Centroid y = 2 unitsTherefore, the centroid y of the givenareais located 2 units above the base of the shape.The centroid y of the given area is located at 2/3 of the height of the shape. The centroid is a point that represents the center of mass of a shape. In this case, the shape has a base length of 9 units and a height of 6 units. By dividing theheightby 3, we find that the centroid y is located 2 units above the base of the shape.To know more aboutCentroid, visitbrainly.com/question/30166683#SPJ11...