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How many 2000 ft. rolls of fencing would be needed to fence 6 acres?
Wiki User
∙ 12y ago
The problem here is that when you say "6 acres", that only tells the enclosed
area. It doesn't tell the shape or dimensions. The perimeter (length of the fence
around it) can be many different lengths, for different shapes and dimensions.
-- The shortest possible fence is 1,812.3 feet, if the 6 acres is enclosed by a circle
with a 576.9-ft diameter.
-- The shortest possible fence for a field with straight sides is 2,044.9 feet,
if the 6-acres is enclosed by a square with 511.2-ft sides.
-- If the field isn't square, there are an infinite number of rectangles, with different
dimensions, that all enclose 6 acres. The longer and skinnier the rectangle is, the
more fence it takes to enclose it.
Square, 511.2-ft x 511.2-ft.
Area = 6 acres.
Fence = 2,044.9 ft.
Rectangle, 605-ft x 432-ft.
Area = 6 acres.
Fence = 2,074 ft.
Rectangle, 1,815-ft x 144-ft.
Area = 6 acres.
Fence = 3,918 ft.
Rectangle, 3,630-ft x 72-ft.
Area = 6 acres.
Fence = 7,404 ft.
Rectangle, 29,040-ft x 9-ft.
Area = 6 acres.
Fence = 58,098 ft.
Wiki User
∙ 12y ago
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