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?
The price of the land was $58,100.
To calculate the total price of the land, we need to determine the total area in square feet and the additional cost based on the front footage. The area is 80 feet wide multiplied by 175 feet deep, resulting in 14,000 square feet. At $4 per square foot, the cost for the area is $56,000. Additionally, the front footage is 80 feet, costing $12 per front foot, adding $960. Thus, the total price is $56,000 + $960 = $58,100.
This choice incorrectly represents the total price of the land, as it appears to have miscalculated the additional cost for the front footage. While the area cost of $56,000 is correct, it fails to include the $960 charge for the front footage, leading to an inaccurate total.
This is the correct calculation of the total price of the land, combining the area cost of $56,000 with the additional charge of $960 for the front footage, resulting in a total of $58,100.
This option reflects a significant overestimation of the total price. It seems to misinterpret the calculations, possibly multiplying the total area cost by an incorrect factor, failing to consider the correct pricing structure for both area and front footage.
This choice also presents an inflated total price, likely stemming from a miscalculation of the area cost and front footage charge. It does not align with the proper calculations for the tract of land based on the given pricing per square foot and front foot.
The total price of the land is accurately calculated by summing the area cost and the front footage charge, resulting in $58,100. The other options miscalculate either the area or the additional front footage cost, leading to incorrect total prices. Understanding how to apply both pricing elements is crucial for accurate valuation in real estate transactions.
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