There is no particular shape for a sqpecified area: it could be circular, or polygonal or any random shape.
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A quarter mile squared is 1/16 of a square mile = 40 acres.
A typical 160 acre tract of land is a quarter section. A section is 1 square mile. Therefore, a quarter section (160 acres) is 1/2 mile x 1/2 mile (1/2 mile square).
There are two eighths in a quarter mile.
Between: "quarter (1/4) mile"
A quarter mile = 402.336 metres.