Final answer:
The area of the figure is 58 square centimeters.
Step-by-step explanation:
To find the area of the figure, we need to find the area of both the triangle and the rectangle, and then add them together.
The formula for the area of a triangle is 1/2 × base × height. Given that the base is 2 cm and the height is 10 cm, the area of the triangle is 1/2 × 2 cm × 10 cm = 10 cm².
The formula for the area of a rectangle is length × width. Given that the length is 6 cm and the width is 8 cm, the area of the rectangle is 6 cm × 8 cm = 48 cm².
Finally, we add the areas of the triangle and rectangle together: 10 cm² + 48 cm² = 58 cm².