Answer:
The perimeter of the figure is approximately 42.85.
Explanation:
Based on the given values, you already know that two of the sides of the shape are 12 units long. Since the half-circle above the rectangle is the same size as the gap in the rectangle - you know this because both of the half-circle's diameter are 6 units long - so you can add 24 units to the perimeter of a circle with a diameter of 6. The diameter of the circle is
, or approximately 18.85, so the perimeter of the whole figure is approximately 42.85.