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Question
A tract of land is square and is to be enclosed by a three rail fence(each section has a top, middle, and bottom rail). Each rail is 12 feet in length. The number of acres enclosed by the fence is equal to the number of rails in the entire fence. Calculate number of acres. Thank.

Answer
1 acre = 43560 ft

The tract is n feet long on each side.
perimeter = 4n ft

total number of rails = 4n ft (1 section/12 ft) (3 rails/section) = n rails

area = n ft
n ft (1 acre/43560 ft) = (n/43560) acres

"The number of acres enclosed by the fence is equal to the number of rails in the entire fence."
n/43560 = n
n = 43560

The fence encloses 43560 acres.

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Janet Yang

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I can answer questions in Algebra, Basic Math, Calculus, Differential Equations, Geometry, Number Theory, and Word Problems. I would not feel comfortable answering questions in Probability and Statistics or Topology because I have not studied these in depth.

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I tutor students (fifth through twelfth grades) and am a Top Contributor on Yahoo!Answers with over 24,000 math solutions.

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