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If the square mile is divided into quarters, each quarter has a side length of 1 ⁄ 2 mile (880 yards) and is 1 ⁄ 4 square mile in area, or 160 acres. These subunits are typically then again divided into quarters, with each side being 1 ⁄ 4 mile long, and being 1 ⁄ 16 of a square mile in area, or 40 acres. In the United States, farmland ...
In geometry, calculating the area of a triangle is an elementary problem encountered often in many different situations. The best known and simplest formula is T = b h / 2 , {\displaystyle T=bh/2,} where b is the length of the base of the triangle, and h is the height or altitude of the triangle.
One of the reasons for creating sections of 640 acres (260 ha) was the ease of dividing into halves and quarters while still maintaining a whole number of acres. A section can be halved seven times in this way, down to a 5-acre (2 ha) parcel, or half of a quarter-quarter-quarter section—an easily surveyed 50-square-chain (2 ha) area. This ...
Township lines run parallel to the baseline (east-west), while range lines run north–south; each are established at 6-mile intervals. Lastly, townships are subdivided into 36 sections of approximately 1 square mile (640 acres; 2.6 km 2) and sections into four quarter-sections of 0.25 square miles (160 acres; 0.65 km 2) each.
If the lengths of the three sides are known then Heron's formula can be used: () () where a, b, c are the sides of the triangle, and = (+ +) is half of its perimeter. [2] If an angle and its two included sides are given, the area is 1 2 a b sin ( C ) {\displaystyle {\tfrac {1}{2}}ab\sin(C)} where C is the given angle and a and b are its ...
The 'perfect acre' [2] is a rectangular area of 43,560 square feet, bounded by sides 660 feet (a furlong) long and 66 feet (a chain) wide (220 yards by 22 yards) or, equivalently, 40 rods by 4 rods. An acre is therefore 160 square rods or 10 square chains. The name perch derives from the Ancient Roman unit, the pertica.
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"A league and a labor" (4,605.5 acres; 18.638 km 2) was a common first land grant [4] and consisted of a league of land away from the river plus one extra labor of good riparian (river-situated) land. A headright of this much land was granted to "all persons [heads of families] except Africans and their descendants and Indians living in Texas ...