Given 1 acre = 43,560 SF 1 lot = 0.25 Acres A developer considers a rectangular piece of land that is 300 ft. wide and 1,452 ft. long in its entirety for a proposed subdivision. In order to be economically viable the tract of land would be required to produce a minimum of 40 (forty), one-quarter acre lots. Does the given tract of land provide enough area to meet the developers
The Correct Answer and Explanation is :
To determine if the given tract of land meets the developer’s requirement of producing a minimum of 40 one-quarter acre lots, we first calculate the total area of the tract and then compare it to the total area required for the lots.
Step 1: Calculate the total area of the tract.
- The tract of land is 300 ft wide and 1,452 ft long.
- Area = Width x Length = 300 ft x 1,452 ft = 435,600 square feet (SF).
Step 2: Calculate the total area required for 40 one-quarter acre lots.
- 1 acre = 43,560 SF.
- 1 quarter-acre = 43,560 SF / 4 = 10,890 SF.
- Total area required = 40 lots x 10,890 SF/lot = 435,600 SF.
Conclusion:
The total area of the tract (435,600 SF) exactly matches the total area required for 40 one-quarter acre lots (435,600 SF). Therefore, the tract of land does provide enough area to meet the developer’s requirement of producing at least 40 one-quarter acre lots.
Explanation:
The calculation shows a perfect match between the area available in the tract and the area required for the proposed subdivision, meaning no area is wasted or insufficient. This efficiency in land use is crucial for the economic viability of real estate development projects, as it ensures that all the purchased land can be effectively utilized to meet project goals. Additionally, matching the area needed precisely with the area available avoids potential financial losses from purchasing excess land or facing a shortage that could disrupt project completion. In real estate development, careful planning and precise calculations like these are key to maximizing returns and ensuring the feasibility of projects. The developer can proceed with the subdivision planning, knowing that the land dimensions and subdivision plans align perfectly.
I will now generate an image representing this development plan for a better visual understanding.
Here is an aerial view image of the proposed subdivision, showing the land divided into 40 equal rectangular lots. Each lot represents a quarter-acre, organized in a clear grid layout with access roads for easy navigation. This visualization should help in understanding how the land area perfectly matches the development requirements.