The area is not sufficient information to determine the length and width. First of all, there is no reason to suppose that the area is rectangular as opposed to circular or triangular or some other simple or complicated shape.
3 acres is 130,680 square feet. The smallest perimeter for 3 acres will be attained if it is a circular area with a perimeter of 1281.5 ft (approx). But there is no maximum, as can be seen from the following:
The area could be in the form of a rectangle which is:
361.5 ft * 361.5 ft (approx) and a perimeter of 1,446 ft or
1,306.8 ft * 100 ft and a perimeter of 2,813.6 ft or
13,068 ft * 10 ft and a perimeter of 26,156 ft or
130,680,000 ft * 0.001 ft and a perimeter of 261,360,000.002 ft
and so on.
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11098.5 lin. ft.
If the parcel is a square, the perimeter is 1,450 feet.
You can't tell the perimeter from the area.If the 50-acre area has straight sides, then the shortest possible perimeter is5,903.2 feet, or about 1.118 miles. But it can be anydistance more than that.For example . . .-- If the plot is a rectangle 1,000-ft wide by 2,178-ft long, then its area is 50 acres,and its perimeter is 8,356-ft, or about 1.583 miles.-- If the plot is a rectangle 500-ft wide by 4,356-ft long, then its area is still 50 acres,but its perimeter is 9,712-ft, or about 1.84 miles.
68 acres, 37,920 square ft.
3 acres = 130,680 sq feet