Two parcels of land priced at $2,100 per acre were purchased. One parcel was 5 acres in size, and the other was 1 square mile in size. How much should these two parcels have cost together?
The total cost of the two parcels of land should be $1,354,500.
To determine the total cost, we must first calculate the cost of each parcel. The 5-acre parcel costs $10,500, while the 1 square mile parcel, equivalent to 640 acres, costs $1,320,000. Adding these two amounts together gives us the total cost.
This amount does not accurately reflect the cost of either parcel. The 5-acre parcel alone costs $10,500, and the 1 square mile parcel is significantly higher in value. Therefore, this choice is incorrect as it does not account for the actual sizes and prices of the parcels.
This figure also falls short of the actual total cost. The 5-acre parcel at $2,100 per acre totals $10,500, and the 1 square mile parcel, which contains 640 acres, should cost $1,320,000. Thus, this option miscalculates the total significantly.
While this amount is closer to the total, it still does not represent the correct cost. The calculation does not include the correct price for the 1 square mile parcel, which alone costs $1,320,000, along with the cost of the 5 acres, leading to an incorrect total.
This is the correct total cost of the two parcels when calculated accurately. The 5-acre parcel costs $10,500, and the 1 square mile parcel costs $1,320,000, resulting in a combined total of $1,354,500.
The total cost of the two parcels combines the price of the 5 acres and the 1 square mile effectively, where $1,354,500 is the accurate sum. Each parcel's price reflects the land's size and per-acre cost, confirming that choice D correctly accounts for the total expenditure needed for both parcels.
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