To find the area of this figure, which is a combination of a rectangle and a semicircle with another semicircle removed, we can break down the process as follows:

1. Identify the dimensions and shapes:

   • The rectangle has a length of 12 units and a width (or height) of 10 units.
   • Two semicircles are attached to opposite sides of the rectangle, each with a diameter of 10 units, implying that each has a radius of 5 units.

2. Calculate the area of the rectangle: $\text{Area of rectangle} = \text{length} \times \text{width} = 12 \times 10 = 120 \text{ square units}$

3. Calculate the area of one full circle (from combining two semicircles): Since both semicircles have a radius of 5, the area of one full circle with radius 5 is: $\text{Area of full circle} = \pi \times r^2 = \pi \times 5^2 = 25\pi \approx 78.5 \text{ square units}$

4. Combine the areas: The area of the figure will be the area of the rectangle plus one semicircle (half of the circle) minus the other semicircle (half of the circle). This simplifies to just adding the area of the rectangle: [