1. **State the problem:** We need to find the area of a composite figure made up of a parallelogram, a trapezoid, and a triangle with given dimensions. 2. **Identify the shapes and their dimensions:** - Parallelogram: base = 4 cm, height = 6 cm - Trapezoid: bases = 4 cm and 8 cm, height = 2.5 cm - Triangle: base = 8 cm, height = 2.5 cm 3. **Formulas to use:** - Area of parallelogram = base \times height - Area of trapezoid = \frac{(base_1 + base_2)}{2} \times height - Area of triangle = \frac{1}{2} \times base \times height 4. **Calculate each area:** - Parallelogram area = $4 \times 6 = 24$ cm$^2$ - Trapezoid area = $\frac{(4 + 8)}{2} \times 2.5 = \frac{12}{2} \times 2.5 = 6 \times 2.5 = 15$ cm$^2$ - Triangle area = $\frac{1}{2} \times 8 \times 2.5 = 4 \times 2.5 = 10$ cm$^2$ 5. **Find total area of composite figure:** $$\text{Total area} = 24 + 15 + 10 = 49 \text{ cm}^2$$ **Final answer:** The area of the composite figure is **49 square centimeters**.