46. 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: B
The price of the land is $58,100.
To calculate the total price of the land, we first need to determine the area and the front footage cost. The area of the land is 80 feet wide multiplied by 175 feet deep, which equals 14,000 square feet. At $4 per square foot, the area cost is $56,000. Additionally, the front footage cost, calculated at $12 per front foot for the 80 feet of width, totals $960. Adding these, the total price comes to $58,100.
A) $56,960
This option is incorrect because it does not account for the additional $12 per front foot charge. The calculation only considers the area cost of $56,000 without including the front footage cost of $960.
B) $58,100
This option correctly represents the total price of the land. It includes the area cost of $56,000 and the front footage cost of $960, leading to the accurate total of $58,100.
C) $168,320
This option is incorrect as it significantly overestimates the total price. It likely results from miscalculating the area cost or applying the pricing structure incorrectly, ignoring the additional front footage cost.
D) $168,960
This option is also incorrect. It suggests an inflated total price that does not reflect the proper calculation of both the area and front footage costs. This figure does not align with any logical computation based on the provided dimensions and pricing structure.
Conclusion
The correct answer, $58,100, accurately reflects the total cost of the land by incorporating both the area cost and the front footage charge. All other options fail to account for the necessary calculations or misinterpret the pricing structure, leading to erroneous totals.