1. **Problem Statement:** Find the area of the first composite shape consisting of a triangle and a rectangle where the rectangle's area is given as 50 units². 2. **Formula for Area of Triangle:** $$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$ 3. **Given Dimensions:** - Triangle base = 15 units - Triangle height = 6 units - Rectangle area = 50 units² (already given) 4. **Calculate Area of Triangle:** $$\text{Area}_{\triangle} = \frac{1}{2} \times 15 \times 6 = \frac{1}{2} \times 90 = 45$$ 5. **Calculate Total Area:** $$\text{Total Area} = \text{Area}_{\triangle} + \text{Area}_{\text{rectangle}} = 45 + 50 = 95$$ 6. **Answer:** - Area of the triangle: 45 units² - Area of the rectangle: 50 units² - Total area: 95 units² This completes the solution for the first composite shape.