Subjects geometry

Composite Area A99D8C

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1. **State the problem:** Find the total area of the composite step-shaped polygon with given side lengths. 2. **Analyze the figure:** The polygon can be divided into simpler rectangles to calculate the total area. 3. **Identify rectangles:** - Rectangle A (top left): width = 12 m, height = 7 m - Rectangle B (inner upper horizontal): width = 9 m, height = (16 m - 7 m) = 9 m - Rectangle C (lower right): width = 10 m, height = 8 m 4. **Calculate areas:** - Area A = $12 \times 7 = 84$ m² - Area B = $9 \times 9 = 81$ m² - Area C = $10 \times 8 = 80$ m² 5. **Sum the areas:** $$\text{Total Area} = 84 + 81 + 80 = 245 \text{ m}^2$$ 6. **Final answer:** The total area of the figure is **245 m²**.