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Example Question #13 : Plane Geometry
The above diagram shows a pentagonal track with perimeter one third of a mile. Adrianne starts at Point A and runs clockwise until she gets halfway between Points D and E. Which of the following choices is closest to the number of feet she runs?
The perimeter of the pentagonal track is one third of a mile; one mile is equal to 5,280 feet, so the perimeter is
Each side of the pentagon has length one fifth of its perimeter, or
Adrianne runs three and one half sides, or
This makes 1,200 feet the closest, and correct, choice.