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Questions and Answers
What is the size of a township?
What is the size of a township?
- 4 square miles
- 8 miles square
- 10 square miles
- 6 miles square (correct)
How many acres are in 1 square mile?
How many acres are in 1 square mile?
640 acres
What is the formula to calculate area?
What is the formula to calculate area?
Length x Width
How many feet long is a mile?
How many feet long is a mile?
What is the equivalent of half a section in acres?
What is the equivalent of half a section in acres?
How many acres are in a quarter section?
How many acres are in a quarter section?
A tract of land measures 660 feet along the highway and contains 20 acres. How deep is the tract? The depth is ______ feet.
A tract of land measures 660 feet along the highway and contains 20 acres. How deep is the tract? The depth is ______ feet.
The area of a triangle is calculated based on its height and width. If a triangle has a base of 460 feet, the area calculated will be ______ acres.
The area of a triangle is calculated based on its height and width. If a triangle has a base of 460 feet, the area calculated will be ______ acres.
If a parcel of land sold for $30,000 based on a rate of $2.50 per square foot, how many square feet did it contain?
If a parcel of land sold for $30,000 based on a rate of $2.50 per square foot, how many square feet did it contain?
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Study Notes
Township and Sections
- A township measures 6 miles square and encompasses 36 square miles.
- A section encompasses 640 acres, equivalent to 1 square mile.
Area Measurements
- 1 square mile equals 640 acres.
- 1 acre includes 43,560 square feet.
- Area can be calculated using the formula: Length x Width.
Distance Conversions
- A mile is equivalent to 5,280 feet.
- Understanding square mile measurement: 1 square mile is equal to 640 acres.
Land Division Terminology
- Base lines and tier lines run east-west.
- Meridian lines and range lines run north-south.
Section Divisions
- Half a section equals 320 acres (1/2 square mile).
- Quarter section equals 160 acres (1/4 square mile).
- A section contains 1 square mile or 640 acres.
Land Area Calculations
- For a tract of land measuring 660 feet along a highway and containing 20 acres:
- Total square footage = 20 acres x 43,560 sq ft/acre = 871,200 sq ft.
- Depth = 871,200 sq ft / 660 ft = 1,320 feet.
Legal Description Parsing
- Example legal description: N 1/2 of the NE 1/4 of the SE 1/4 of the SW 1/4 of Section 12, T24S, R13E.
- Total area = 640 acres x (1/4) x (1/4) x (1/4) x (1/2) = 5 acres.
Additional Legal Description Example
- For legal description: W 1/2 of SW 1/4 of NW 1/4 of NE 1/4 and SE 1/4 of SW 1/4 of NW 1/4 of NE 1/4 of Section 29, T19S, R10E:
- Area calculations:
- A. 640 acres x (1/4) x (1/4) x (1/4) x (1/2) = 5 acres.
- B. 640 acres x (1/4) x (1/4) x (1/4) x (1/4) = 2.5 acres.
- Total area = 5 + 2.5 = 7.5 acres.
- Area calculations:
Triangular Parcel Calculation
- For a triangular parcel measuring 460 feet along a street with a maximum depth of half the frontage:
- Area = 460 ft x 230 ft = 105,800 sq ft.
- Since it's a triangle, divide by 2: 105,800 / 2 = 52,900 sq ft.
- Acres = 52,900 sq ft / 43,560 sq ft per acre ≈ 1.21 acres.
Price per Square Foot Calculation
- A parcel sold for $30,000 at a rate of $2.50 per square foot:
- Total square feet = $30,000 / $2.50 per sq ft = 12,000 sq ft.
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