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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.

1 acre = 43560 ft²

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 = n² ft²
n² ft² × (1 acre/43560 ft²) = (n²/43560) acres

"The number of acres enclosed by the fence is equal to the number of rails in the entire fence."
n²/43560 = n
n = 43560

The fence encloses 43560 acres.
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#### Janet Yang

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