Rationale
$56,960
To calculate the total price of the land, we need to determine both the square footage and the front footage costs. The tract of land measures 80 feet wide and 175 feet deep, which gives a total area of 14,000 square feet. Selling at $4 per square foot results in $56,000. Additionally, the front footage is 80 feet, costing $12 per front foot, which adds another $960, leading to a total price of $56,960.
A) $56,960
This option represents the correct calculation. The area of the land is 80 feet * 175 feet = 14,000 square feet. At $4 per square foot, the cost becomes 14,000 * 4 = $56,000. The front footage is 80 feet, costing $12 per front foot, which equals 80 * 12 = $960. Adding these two amounts gives $56,000 + $960 = $56,960.
B) $58,100
This choice incorrectly suggests a higher total. The calculations for both square footage and front footage costs were not accurately combined. It appears to miscalculate either the area or the front footage fees, failing to account for the exact dimensions of the land.
C) $168,320
This option miscalculates the area cost significantly. It does not take into account the correct price per square foot and inflates the cost unrealistically. The total area calculation should not yield such a high price given the stated price per square foot and the dimensions of the land.
D) $168,960
Similar to option C, this choice greatly overestimates the total cost of the land. It may result from misunderstanding the area or incorrectly applying the per-foot pricing structure. The calculations should clearly show a much lower total based on the provided dimensions and prices.
Conclusion
The total price of the land is derived from accurate calculations of both area and front footage costs. The correct answer of $56,960 reflects the proper application of given rates to the tract's dimensions, while the other options demonstrate miscalculations or misunderstandings of the pricing components involved in the sale.
