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.
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
The area (acres) doesn't tell the perimeter. If the 2.5 acres is square, than the perimeter is 1,320 feet. If the 2.5 acres is a field that's 100-ft wide and 1,089-ft long, then the perimeter is 2,378 feet. The perimeter can be ANY distance longer than 1,320 feet.
Short answer:Any length you like greater than or equal to 132√(30π) ≈ 1281.47 ft Long answer:An acre is a measure of area and as such it does not matter what shape 3 acres is as long as its area is 3 acres. The minimum perimeter is if you have a circle of area 3 acres which give a perimeter of 132√(30π) ≈ 1281.47 ftIf you have a square with an area of 3 acres, then the perimeter will be 264√30 ≈ 1445.99 ftThe acre was originally the area of a rectangle 1 chain (66 ft) wide by 1 furlong (660 ft) long. If three of these rectangles are placed next to each other (with a side in common) to provide an area of 3 acres, then depending how the rectangles are joined, the perimeter could be 1716 ft, 2904 ft or 4092 ft.If you have a single rectangular area of 3 acres in the same proportions as the original acre (so it would be 66√3 ≈ 114.32 ft wide and 660√3 ≈ 1143.15 ft long), it would have a perimeter of 1452√3 ≈ 2514.94 ft.These are just some examples, by varying the shape you can have any length you like greater than or equal to the minimum of about 1281.47 ft.
11098.5 lin. ft.
It could take near enough forever. A million acres is 43560000000 sq ft. The minimum perimeter for an area of this size is 4*sqrt(43560000000) ft = 4*208710 ft = 834841 ft = 158 miles. But there is no maximum length for the perimeter. The million acres could be 43560 * 1000000 sq ft with a perimeter of 2087120 ft = 395 miles or 4356 *10000000 sq ft with a perimeter of 20008712 ft = 3790 miles or 435.6 * 108 sq ft with a perimeter of 2*108 ft = 37879 miles etc.
A perimeter is not enough to determine the area. A 4000 ft perimeter could be a circular shape with radius giving an area of 1,273,000 sq ft (approx) = 29.23 acres. It could be a 1000 ft * 1000 ft square with an area of 1,000,000 sq ft = 22.96 acres or a 500 ft * 1500 ft rectangle with an area of 750,000 sq ft = 17.22 acres or a 100 ft * 1900 ft rectangle with an area of 190,000 sq ft = 4.36 acres or a 10 ft * 1990 ft rectangle with an area of 19,900 sq ft = 0.46 acres or a 1 ft * 1999 ft rectangle with a n area of 1,999 sq ft = 0.05 acres or a 0.1 ft * 1999.9 ft etc. As you might guess from the above, by reducing one dimension the area of the parcel of land can be reduced without limit although the perimeter is left unchanged.
Any number greater than or equal to 8348.4 feet. A square of sides 2087.1 feet will have an area of 100 acres. A rectangle of any larger length (and corresponding shorter width) can have the same area but with a larger perimeter. eg 3000 ft * 1492 ft : perimeter = 8904 ft 4000 ft * 1089 ft : perimeter = 10178 ft 10000 ft * 435.6 ft : perimeter = 20871.2 ft 1 billion ft * 0.052 inches : perimeter = 2 billion ft (approx) 1 trillion ft * 0.000052 inches : perimeter = 2 trillion ft (approx) There is no end.
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.
Any value greater than or equal to 7934.102 feet. The most compact shape would be a circular plot with radius 1262.752 feet and that would give a circumference (or perimeter) of 7934.102 feet. By flattening the circle you can increase the perimeter without limit. Similarly, 115 acres could be a square plot with sides of 2238.169 feet, giving the minimum perimeter (for a quadrilateral) of 8952.676 feet. But you could consider a rectangular plot of 22381.69 ft * 223.8169 ft with a perimeter of 45211.01 feet or 223816.9 ft * 22.38169 ft giving a perimeter of 447678.5 ft. or 2238169 ft * 2.238169 ft and a perimeter of 4476342 ft. etc.
An acre is 43560 square feet, imagine a square: 208.7103 X 208.7103 ft. The perimeter of ONE acre (adding all 4 sides) would be 208.7103 +208.7103 +208.7103 +208.7103 = 834.8413 feet. The perimeter of FIVE acres (five of these sqares side by side or 208.7103 X 1043.5516) would be: 208.7103 + 1043.5516 + 208.7103 + 1043.5516 = 2504.5239 There are 5820 feet in a mile, so the perimeter of 5 acres is 0.474 miles * * * * * The above answer is only true if the area is in the form of a 5*1 rectangle. Was there any justification for selecting that configuration?
You can't tell the perimeter by knowing the area.The smallest possible perimeter for the area is a circle. With 9 acres inside it, the circle'sdiameter is 215.35 meters, and the perimeter (circumference) is 676.53 meters. (rounded)The smallest possible perimeter with straight sides is a square. With 9 acres inside it,each side of the square is 190.84 meters, and the perimeter is 763.38 meters.But it could be anything more than that.Example:A skinny rectangular garden, 121-ft (36.88 meters) wide and 3,240-ft (987.55 meters) long.Area = (121) x (3,240) = 392,040 square feet = 9 acres .Perimeter = 6,722-ft = 2,048.87 meters
Perimeter = 2+2+3+3 = 10 feet