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A square foot is a measure of surface area, and a mile is a measure of length. There are 5,280 feet in a mile and 27,878,400 square feet in a square mile.
Hi Lisa, One mile is 5280 feet is 1/4 mile is 5280/4 = 1320 feet. Thus a square which is 1/4 mile on each side has an area of 13202 = 1742400 square feet. There are 43,560 square feet in one acre so a 1/4 mile square is 1742400/43560 = 40 acres. If you have a square with area 40 acres then, from the calculations above, the square will have side length of 1/4 mile and hence a perimeter of one mile.