A standard section in the U.S. Public Land Survey System is nominally one square mile, or 640 acres. Its idealized square dimensions are one mile by one mile, equivalent to 5,280 × 5,280 feet.
A quarter section is one-fourth of that standard area: 160 acres. In the ideal square arrangement, it measures half a mile by half a mile, or 2,640 × 2,640 feet.
The USDA Forest Service describes a section as nominally one mile square. “Nominally” matters: the standard grid is a size reference, not proof of the acreage or boundaries of an actual parcel.