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By splitting the figure given alongside ...

By splitting the figure given alongside into rectangles, find the area.

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To find the area of the given figure by splitting it into rectangles, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Dimensions of the Figure**: - The figure can be split into three rectangles. - Let's denote the rectangles as A (ABIJ), B (CDHI), and C (EFGH). - From the problem, we know that the height of each rectangle is 1 unit. 2. **Determine the Lengths of Each Rectangle**: - For rectangle A (ABIJ), the length is 3 units. - For rectangle B (CDHI), the length is also 3 units. - For rectangle C (EFGH), the length is again 3 units. 3. **Calculate the Area of Each Rectangle**: - The area of rectangle A (ABIJ) = Length × Height = 3 × 1 = 3 square units. - The area of rectangle B (CDHI) = Length × Height = 3 × 1 = 3 square units. - The area of rectangle C (EFGH) = Length × Height = 3 × 1 = 3 square units. 4. **Sum the Areas of All Rectangles**: - Total area = Area of A + Area of B + Area of C - Total area = 3 + 3 + 3 = 9 square units. ### Final Answer: The total area of the figure is **9 square units**.
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