10. 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 was $58,100.
To calculate the total price of the land, we need to consider both the price per square foot and the additional cost per front foot. The area of the land is 80 feet wide by 175 feet deep, resulting in a total area of 14,000 square feet. At $4 per square foot, this amounts to $56,000. Additionally, with 80 front feet at $12 each, that adds another $960, leading to a total price of $58,100.
A) $56,060
This option incorrectly only considers the cost per square foot and does not account for the additional $12 charge per front foot. The calculation of $56,060 fails to incorporate the total area correctly and the depth of the land, leading to an underestimation of the actual price.
B) $58,100
This option correctly accounts for both the square footage and the front foot charge. The calculation includes $56,000 from the area (14,000 square feet at $4) and adds $960 from the front feet (80 feet at $12), resulting in the correct total of $58,100.
C) $168,320
This choice is significantly higher than the correct price and likely results from a miscalculation or misunderstanding of how to apply the price per square foot or front foot. It does not reflect the dimensions or the pricing structure provided in the question.
D) $169,660
Similar to option C, this amount is incorrect and suggests an overestimation of either the total area or charges applied. The calculations involved do not align with the dimensions given, leading to a total that far exceeds the actual price of the land.
Conclusion
Option B is definitively the correct answer as it accurately reflects the total cost of the land by properly calculating both the area cost and the additional front foot charge. All other options fail to consider one or both components of the pricing structure, leading to incorrect totals. Thus, option B stands out as the only valid conclusion based on the provided information.