Subjects geometry

Area Addition 19F0Cb

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1. **State the problem:** Find the total area of a figure composed of two rectangles joined along one side. 2. **Formula used:** The Area Addition Postulate states that the total area of a figure formed by two or more non-overlapping shapes is the sum of their individual areas. 3. **Identify the shapes and their dimensions:** - Rectangle ABDE has side lengths 4 and 4. - Rectangle BCEF has side lengths 6 and 2. 4. **Calculate the area of each rectangle:** - Area of ABDE = $4 \times 4 = 16$ - Area of BCEF = $6 \times 2 = 12$ 5. **Add the areas to find the total area:** $$\text{Total Area} = 16 + 12 = 28$$ 6. **Final answer:** The total area of the figure is **28 square units**.