Subjects geometry

Composite Area 9Ecea7

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1. The problem is to find the area of the composite stepped polygon with given side lengths: 9.3 cm, 2 cm, 5 cm, 4 cm, 10 cm, and 6 cm. 2. To find the area of a composite shape, we divide it into simpler shapes (usually rectangles or squares), find each area, then sum them. 3. We identify the shape as composed of three rectangles stacked or adjacent. 4. Calculate the area of each rectangle: - Rectangle A: width = 9.3 cm, height = 2 cm - Rectangle B: width = 5 cm, height = 4 cm - Rectangle C: width = 10 cm, height = 6 cm 5. Area formulas: $$\text{Area} = \text{width} \times \text{height}$$ 6. Calculate each area: - $$A = 9.3 \times 2 = 18.6\, \text{cm}^2$$ - $$B = 5 \times 4 = 20\, \text{cm}^2$$ - $$C = 10 \times 6 = 60\, \text{cm}^2$$ 7. Sum the areas: $$\text{Total Area} = 18.6 + 20 + 60 = 98.6\, \text{cm}^2$$ 8. Therefore, the total area of the composite shape is $$\boxed{98.6\, \text{cm}^2}$$.
9.3 cm5 cm10 cm2 cm4 cm6 cm