You can't tell. There are an infinite number of different shapes that enclose 200 acres of area.
Even if you only want to talk about rectangles, there are an infinite number of rectangles, with
all different perimeters, that all enclose 200 acres.
The smallest possible perimeter (distance around) is 10,463.2 feet / 1.98 miles if the 200 acre field
is circular, or 11,806.4 feet / 2.236 miles if it's square. (All of these numbers are rounded off.)
Any non-square field will have a perimeter greater than that. The less square it is, the longer the perimeter will be.
For example, if the field is 1 foot wide and 1,650 miles long, then its area is 200 acres, and its
perimeter is 3,300 miles and 2 feet.
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One acre is equal to 43,560 square feet. Therefore, 200 acres would be equal to 8,712,000 square feet. To find the distance around the outside of 200 acres, you would need to calculate the perimeter, which would typically require more information about the shape of the area.
There are 33,480 feet around 2700 acres.
There are 0.0988 acres in 4300 square feet.
There are approximately 0.298 acres in 12,981 square feet.
There are 23,522.4 square feet in 0.54 acres.
There are 2,003,760 square feet in 46 acres.