Subjects geometry

Composite Area

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Composite Area


1. **State the problem:** We need to find the total area of a composite shape made of two rectangles. 2. **Identify the dimensions:** - Top rectangle: width $= 13.1$ cm, height $= 3.4$ cm - Bottom rectangle: width $= 10$ cm, height $= 18.73$ cm 3. **Calculate the area of each rectangle:** - Area of top rectangle $= \text{width} \times \text{height} = 13.1 \times 3.4 = 44.54$ cm$^2$ - Area of bottom rectangle $= 10 \times 18.73 = 187.3$ cm$^2$ 4. **Add the areas to get total area:** $$ \text{Total area} = 44.54 + 187.3 = 231.84 \text{ cm}^2 $$ 5. **Conclusion:** The total area of the shape is $231.84$ cm$^2$.