Math CentralQuandaries & Queries


Question from bob:

How many feet of fencing is required to fence in 5 acres


An acre is an area of 43560 square feet so 5 acres is 5 × 43560 = 217800 square feet, but it can be any shape. It might be a square, a rectangle, a circle, a triangle or some irregular shape. The distance around a 5 acre property depends on the shape, not just the area.

If this property is a square then each side is of length 466.7 feet and would require 4 × 466.7 = 1,866.8 feet of fencing. It might me a mile long and 41.25 feet wide and in this case the amount of fencing needed is 10,642.5 feet.

Can you tell us the shape?


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