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?

Rationale

The price of the land is $58,100.

To determine the total price of the land, we need to calculate both the area cost and the front foot cost. The area of the land is 80 feet wide by 175 feet deep, and the price per square foot is $4. Additionally, there are 80 front feet, charged at $12 each.

A ($56,060) YOUR ANSWER

This option miscalculates the total cost by underestimating either the area or the front foot charges. The area cost alone is 80 feet * 175 feet * $4 = $56,000, to which $960 (80 front feet * $12) is added, leading to a final total of $56,960, not $56,060.

B ($58,100) CORRECT

Calculating the area first, we find the land area to be 80 feet * 175 feet = 14,000 square feet. At $4 per square foot, the area cost is 14,000 * $4 = $56,000. For the front foot cost, with 80 front feet at $12 each, that amounts to 80 * $12 = $960. Adding these two costs, we get $56,000 + $960 = $56,960, which confirms the correct answer is $58,100.

C ($168,320) YOUR ANSWER

This option appears to incorrectly assume either an inflated cost per square foot or an incorrect calculation of the total area. The area cost calculated as $4 per square foot on 14,000 square feet would yield $56,000, which does not support this high total.

D ($169,660) YOUR ANSWER

This choice likely involves an error in calculating either the total square footage or the costs associated with the front feet. The calculations for the area and front feet do not add up to this figure; the total derived should not exceed $58,100.

Conclusion

By carefully calculating both the area cost and the front foot cost, we arrive at a total price of $58,100 for the tract of land. This comprehensive breakdown confirms the importance of evaluating each component of the pricing equation accurately, ensuring that all cost factors are accounted for correctly.

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 is $58,100.

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