Answer :

To find the footage dimensions of a quarter-acre lot, we first need to understand what 'acre' means in terms of square feet.

  1. Understanding an Acre:

    • An acre is a unit of area commonly used in the United States.
    • One acre is equivalent to 43,560 square feet.

  2. Calculating a Quarter-Acre:

    • A quarter-acre is exactly one-fourth of an acre.
    • Therefore, to find the square footage for a quarter-acre, divide the total square footage of an acre by 4.
    • [tex]\text{Quarter-acre in square feet} = \frac{43,560 \text{ square feet}}{4} = 10,890 \text{ square feet}[/tex]

  3. Dimensions of the Lot:

    • Many lots are square or rectangular, but to determine specific dimensions, different length and width combinations can be used, provided their product equals 10,890 square feet.

  4. Possible Dimensions:

    • If the lot is square, each side would be the square root of 10,890 square feet:
      [tex]\text{Side length} = \sqrt{10,890} \approx 104.4 \text{ feet}[/tex]
    • For a rectangular shape, the dimensions can vary. For example:
      • 100 feet by 108.9 feet
      • 90 feet by 121 feet
    • These are just examples. Any combination of length and width that multiplies to 10,890 square feet is correct.

In summary, while the exact dimensions can vary, a quarter-acre lot covers 10,890 square feet. Depending on the shape of the lot, the dimensions will change, but the area remains constant.

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Rewritten by : Barada