Solution:
The image appears to show a composite shape consisting of a rectangle and a right-angled triangle attached to it. The rectangle has dimensions of 6 cm by 8 cm, and the triangle shares its height of 6 cm with the rectangle and has a base of 4 cm (since the combined base of the rectangle and triangle is 12 cm, and the rectangle alone is 8 cm).To calculate the area of this shape, we need to find the area of both the rectangle and the triangle and then add these together.Area of the rectangle:$$ A_{rectangle} = \text{length} \times \text{width} $$$$ A_{rectangle} = 8\, \text{cm} \times 6\, \text{cm} $$$$ A_{rectangle} = 48\, \text{cm}^2 $$Area of the triangle:The area of a right-angled triangle can be found using the formula:$$ A_{triangle} = \frac{1}{2} \times \text{base} \times \text{height} $$$$ A_{triangle} = \frac{1}{2} \times 4\, \text{cm} \times 6\, \text{cm} $$$$ A_{triangle} = \frac{1}{2} \times 24\, \text{cm}^2 $$$$ A_{triangle} = 12\, \text{cm}^2 $$Now, we add the area of the rectangle and the area of the triangle to get the total area.Total area:$$ A_{total} = A_{rectangle} + A_{triangle} $$$$ A_{total} = 48\, \text{cm}^2 + 12\, \text{cm}^2 $$$$ A_{total} = 60\, \text{cm}^2 $$So, the combined area of the composite shape is 60 square centimeters.