Subjects geometry

Composite Area 05F97C

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1. **State the problem:** Find the area of the composite figure with given side lengths: 8 ft, 4 ft, 6 ft, 10 ft, 2 ft, 8 ft, and 11 ft. 2. **Approach:** Break the figure into simpler shapes (rectangles) whose areas we can calculate and then sum. 3. **Identify shapes:** - Rectangle A (top left): width = 8 ft, height = 6 ft - Rectangle B (middle right extension): width = 10 ft, height = 4 ft - Rectangle C (bottom right extension): width = 2 ft, height = 11 ft 4. **Calculate areas:** - Area A = $8 \times 6 = 48$ sq ft - Area B = $10 \times 4 = 40$ sq ft - Area C = $2 \times 11 = 22$ sq ft 5. **Sum areas:** $$\text{Total area} = 48 + 40 + 22 = 110 \text{ square feet}$$ 6. **Final answer:** The area of the figure is **110 square feet**.
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