2. 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: B
The minimum sized lot that should be purchased is 2 acres.
The company needs a parcel of land that is four times the size of the proposed building, which is 20,000 square feet. Therefore, the minimum lot size required is 80,000 square feet, which is equivalent to 2 acres.
A) 1 acre
1 acre is equal to 43,560 square feet, which is significantly smaller than the required 80,000 square feet. Thus, this option is incorrect as it does not meet the size requirement for the land.
B) 2 acres
2 acres is equivalent to 87,120 square feet, which exceeds the required 80,000 square feet needed for the land. This option is correct as it fulfills the company's requirement of having a lot that is four times the size of the building.
C) 4 acres
4 acres amounts to 174,240 square feet, which is much larger than the required 80,000 square feet. While it meets the size requirement, it is unnecessary and exceeds the minimum needed, making this option incorrect in the context of finding the minimum lot size.
D) 8 acres
8 acres equals 348,480 square feet, which far exceeds the required 80,000 square feet. Similar to option C, while it satisfies the size requirement, this option is incorrect as it does not represent the minimum land needed for the company's building plans.
Conclusion
The correct answer is 2 acres, as it meets the specific requirement of being four times the size of the proposed building, which is essential for the company's needs. All other options either fall short of the minimum requirement or provide excess land, making them unsuitable choices for the situation presented.