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The figure below consists of a rectangle and two semicircles.

If the sum of the areas of the semicircles is equal to the area of the rectangle, and if the radii of each of the semicircles are 4 inches, what is the perimeter of the figure?

$ 8 + 8{\pi} $

$ 8 + 16{\pi} $

$ 16 + 16{\pi} $

$ 12{\pi} $

$ 20{\pi} $