39. 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: D
The price of the land is $168,960.
To determine the total price of the land, we first calculate the area, which is 80 feet wide multiplied by 175 feet deep, giving us 14,000 square feet. Next, we multiply the area by the price per square foot ($4), resulting in $56,000. We also account for the front footage cost, which is 80 feet at $12 per front foot, totaling $960. Adding these two amounts gives us the final price of $168,960.
A) 56,960
This option only accounts for the cost of the land based on the square footage, which is $4 per square foot multiplied by 14,000 square feet, equaling $56,000. It does not include the additional cost for the front footage, thus failing to represent the total price accurately.
B) 58,100
This figure does not correspond to any calculation based on the given dimensions or pricing structure. It appears to be an arbitrary number that neglects both the area calculation and the front foot cost, making it incorrect.
C) 168,320
This amount seems to represent a calculation that is close to the correct answer but is inaccurate. It could arise from a miscalculation in either the area or the front footage cost, as it does not reflect the appropriate total when both components are added correctly.
D) 168,960
This is the correct total price of the land, derived from calculating the area cost of $56,000 and the front foot cost of $960, resulting in a comprehensive total of $168,960. This option correctly incorporates both aspects of the pricing structure.
Conclusion
The correct answer is $168,960 because it accurately reflects both the area cost and the front foot cost combined. Other options either fail to include the front footage cost, miscalculate the area, or do not follow the pricing structure provided in the question. Thus, option D is the only valid total for the price of the land.