56. A tract of land 80 feet wide and 175 feet deep sold for $4 per square foot, plus $12 for each front foot. What was the price of the land?
Answer: A
$56,960
The price of the land is calculated by determining the total square footage and the cost associated with the front footage. The land is 80 feet wide and 175 feet deep, resulting in a total area of 14,000 square feet. At $4 per square foot, this amounts to $56,000, and adding the $12 per front foot for the 80 feet of width contributes an additional $960, leading to a total of $56,960.
A) $56,960
This option is correct as it accurately reflects the total cost of the land. The calculations show that the area of the land is 14,000 square feet, resulting in a base cost of $56,000. Additionally, the front footage cost is $960 (80 feet x $12), making the total $56,960.
B) $58,100
This option is incorrect because it does not represent the correct calculations for the price of the land. The base price of $56,000 plus the front footage fee does not sum to $58,100. Therefore, this figure miscalculates the total cost.
C) $168,320
This option is incorrect as it significantly overstates the cost of the land. The calculations for square footage and front footage do not support this figure, which suggests a misunderstanding of the pricing structure based on the dimensions provided.
D) $168,960
This option is also incorrect. Similar to option C, this choice represents an inflated total that does not align with the calculated values. The correct computations clearly show that the price cannot reach this level based on the area and fees stipulated.
Conclusion
The correct answer, $56,960, is derived from precise calculations of both the area and front footage of the land. All other options fail to accurately reflect the cost based on the given dimensions and pricing structure, highlighting the importance of careful arithmetic in determining total land prices.