How many miles around the perimeter of 120 acres rectangular in shape? - Answers

Very interesting question. The answer is: There is no answer, because knowingthe area doesn't tell you the shape or the perimeter.There are an infinite number of rectangles that all have the same area butdifferent perimeters.The shortest perimeter that can enclose 120 acres is a circle, with diameter ofabout 2,580 ft, or 0.4886 mile. The perimeter (circumference) is 1.535 mile. (rounded)The rectangle with the shortest perimeter that encloses 120 acres is a squarewith sides of 2,286-ft. The perimeter is 9,145-ft or 1.732 miles.The perimeter can be anything greater than that. The more long and skinny and"unsquare" the rectangle is, the longer the perimeter is, for the same area.Examples:1,800-ft x 2,904-ftArea = 120 acresPerimeter = 9,408-ft = 1.782 miles1,452-ft x 3,600-ft:Area = 120 acresPerimeter = 10,105-ft = 1.914 miles726-ft x 7,200-ft:Area = 120 acresPerimeter = 15,862-ft = 3.002 miles242-ft x 21,600-ftArea = 120 acresPerimeter = 43,684-ft = 8.273 miles60.5-ft x 86,400-ftArea = 120 acresPerimeter = 172,921-ft = 32.750 miles