medium · SAT Math

A track encloses a region shaped like a rectangle with two semicircles attached, one on each of the two shorter sides. The rectangle is 100 meters long and 40 meters wide, and each semicircle has the 40-meter side as its diameter.

What is the total area enclosed by the track, in square meters, in terms of π?

  1. 4000+200π
  2. 4000+400π
  3. 4000+800π
  4. 4000+1600π

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