Subjects geometry

Composite Perimeter 28D9Ef

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1. **State the problem:** Find the perimeter of a composite figure made of a rectangle and a semicircle attached on one side. 2. **Given dimensions:** Rectangle height = 6 m, width = 3.5 m; semicircle radius = 3.5 m. 3. **Formula for perimeter:** Perimeter = sum of three rectangle sides + curved edge of semicircle. 4. **Calculate rectangle sides sum:** $$6 + 6 + 3.5 = 15.5$$ meters. 5. **Calculate semicircle curved edge:** Circumference of full circle = $$2 \pi r = 2 \times 3.14 \times 3.5 = 21.98$$ meters. 6. **Half circumference (semicircle):** $$\frac{21.98}{2} = 10.99$$ meters. 7. **Add all parts for perimeter:** $$15.5 + 10.99 = 26.49$$ meters. **Final answer:** The perimeter of the composite figure is **26.49 meters**.