Question - Calculating Area of Polygon

Solution:

To find the area of the polygon, you need to treat it as a combination of simpler shapes, such as rectangles or squares. Based on the figure provided, it looks like a rectangle with a smaller rectangle on top of it.First, find the area of the larger rectangle. The large rectangle has a length of 6 units and a height of 7.2 units.Area of large rectangle = length × height = 6 × 7.2 = 43.2 square unitsNext, find the area of the smaller rectangle on the top. It has a length of 3 units and a height of 1 unit.Area of small rectangle = length × height = 3 × 1 = 3 square unitsNow, add the area of the larger rectangle to the area of the smaller rectangle to get the total area of the polygon.Total area of the polygon = Area of large rectangle + Area of small rectangleTotal area of the polygon = 43.2 + 3 = 46.2 square unitsThe area of the polygon is 46.2 square units.

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