The figure can be divided into two parts: a rectangle and a right triangle.
Area of rectangle = length x width
Area of rectangle = 10 cm x 4 cm
Area of rectangle = 40 cm²
Area of triangle = 1/2 x base x height
Area of triangle = 1/2 x 6 cm x 4 cm
Area of triangle = 12 cm²
Total area of figure = area of rectangle + area of triangle
Total area = 40 cm² + 12 cm²
Total area = 52 cm²
Therefore, the area of the figure is 52 square centimeters.