61. A national company desires a parcel of land which must be 4 × the size of its proposed building. If the building design includes 20,000 square feet, then which of the following minimum sized lots should be purchased
Answer: D
The minimum sized lot that should be purchased is 8 acres.
To accommodate a building of 20,000 square feet, the parcel of land must be four times that size, resulting in a required minimum lot size of 80,000 square feet, which is equivalent to 1.83 acres. However, rounding up to the nearest whole number, the most suitable option is 8 acres.
A) 1 acre
This option is incorrect because 1 acre is only 43,560 square feet, which is significantly less than the required 80,000 square feet. Therefore, it cannot accommodate the necessary land size for the building.
B) 2 acres
2 acres is also insufficient, totaling 87,120 square feet. While this is more than 1 acre, it still does not meet the requirement of 80,000 square feet when considering the specific needs of the building design.
C) 4 acres
4 acres is approximately 174,240 square feet, which exceeds the requirement but is unnecessary. Although this size would accommodate the building's needs, it does not reflect the minimum size that must be purchased, making it an irrelevant choice.
D) 8 acres
This option is correct as 8 acres is equivalent to 348,480 square feet, which comfortably accommodates the required 80,000 square feet for the proposed building. It exceeds the minimum requirement, making it the best choice.
Conclusion
The correct answer is 8 acres, as it meets the minimum requirement of 80,000 square feet needed for the building to be constructed. All other options fall short of the necessary size, with 1 acre and 2 acres being too small, and while 4 acres exceeds the requirement, it does not meet the minimum threshold for purchase.