22. A national company desires a parcel of land which must be four × 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 that is 20,000 square feet, the company requires a lot that is four times this size, which calculates to 80,000 square feet. Since 1 acre equals 43,560 square feet, the minimum lot size needed is approximately 1.83 acres, leading to the conclusion that 8 acres is the appropriate size to meet the requirement.
A) 1 acre.
1 acre is significantly smaller than the required size of 80,000 square feet. Since 1 acre equals 43,560 square feet, this option does not meet the requirement for a lot that is four times the size of the proposed building.
B) 2 acres.
2 acres also falls short of the necessary lot size. With 2 acres equating to 87,120 square feet, it exceeds the requirement, but it does not fulfill the four times size requirement when compared to the building's 20,000 square feet.
C) 4 acres.
4 acres provides a total of 174,240 square feet, which is larger than the required 80,000 square feet. However, while it meets the requirement, it is not the minimum size that should be purchased, as 8 acres is the correct calculation based on the requirement.
D) 8 acres.
8 acres translates to 348,480 square feet, which adequately meets the requirement of being four times the size of the proposed building's 20,000 square feet. This option is the correct answer, fulfilling the company's needs while ensuring compliance with the stated size requirement.
Conclusion
The correct answer is 8 acres, as it meets the requirement of being four times the size of the proposed building. All other options, while some may be larger, do not represent the minimum size necessary to comply with the company's specifications, making them incorrect. Thus, option D is the only choice that accurately reflects the required lot size.