How long is one side of a square lot that measures 160 acres?

How long is one side of a square lot that measures 160 acres?

• A. 1,000 feet
• B. 1,320 feet
• C. 2,640 feet
• D. 3,960 feet

Answer: (C)

To determine the length of one side of a square lot measuring 160 acres, it's essential to understand the relationship between acres, square footage, and the geometry of a square. An acre is defined as 43,560 square feet. Therefore, to convert 160 acres into square feet, you multiply: 160 acres × 43,560 square feet/acre = 6,969,600 square feet. Since a square has all four sides of equal length, we can find the length of one side by taking the square root of the total area: Length of one side = √(Area) = √(6,969,600 square feet). Calculating the square root yields: √(6,969,600) = 2,640 feet. This calculation shows that the length of one side of the square lot is indeed 2,640 feet, making the provided answer the correct one. Understanding this conversion and the geometric principles behind squares is crucial for solving similar problems in land measurement and real estate evaluation.

To determine the length of one side of a square lot measuring 160 acres, it's essential to understand the relationship between acres, square footage, and the geometry of a square.

An acre is defined as 43,560 square feet. Therefore, to convert 160 acres into square feet, you multiply:

160 acres × 43,560 square feet/acre = 6,969,600 square feet.

Since a square has all four sides of equal length, we can find the length of one side by taking the square root of the total area:

Length of one side = √(Area) = √(6,969,600 square feet).

Calculating the square root yields:

√(6,969,600) = 2,640 feet.

This calculation shows that the length of one side of the square lot is indeed 2,640 feet, making the provided answer the correct one. Understanding this conversion and the geometric principles behind squares is crucial for solving similar problems in land measurement and real estate evaluation.