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

Rationale

8 acres should be purchased for the proposed building.

To accommodate a building of 20,000 square feet, the company requires a lot that is four times that size. Therefore, the minimum lot size needed is 80,000 square feet, which converts to 1.84 acres, but since options are in whole acres, 8 acres is the minimum viable choice.

A (1 acre) YOUR ANSWER

1 acre equals 43,560 square feet, which is significantly less than the required 80,000 square feet. This size would not provide sufficient space for the building and its necessary surroundings.

B (2 acres) YOUR ANSWER

2 acres equates to 87,120 square feet. While this size exceeds the requirement, it is not the minimum size necessary, as the company only needs a lot of 80,000 square feet to meet the four times size requirement of the building.

C (4 acres) YOUR ANSWER

4 acres is approximately 174,240 square feet, which is more than sufficient to meet the requirement. However, similar to option B, it exceeds the minimum size necessary and would not be the economical choice when looking to purchase the smallest lot that meets the criteria.

D (8 acres) CORRECT

8 acres equals 348,480 square feet, which is well above the required 80,000 square feet. This option is the only one that guarantees enough space while adhering to the requirement of being at least four times the size of the proposed building.

Conclusion

In order to effectively accommodate the proposed building of 20,000 square feet, a minimum lot size of 80,000 square feet is required, which correlates to 1.84 acres. Among the given options, 8 acres is the only choice that meets and exceeds this requirement, making it the most suitable purchase. Therefore, the company should opt for the 8-acre lot to ensure ample space for its building and any necessary infrastructure.

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

8 acres should be purchased for the proposed building.

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