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The figure below consists of a rectangle and two semicircles, one on each end, in the x-y coordinate plane.

If $(4,0)$ and $(18,0)$ are coordinates of two points in the figure where the vertices of the rectangle intersect the endpoints of the diameter of the semicircles, what is the perimeter of the figure?

A

$28 + 4\pi$

B

$28 + 8\pi$

C

$28 + 16\pi$

D

$36 + 4\pi$

E

$36 + 8\pi$

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