A tract of land is 500 feet wide and 1/5 that deep. If the tract sold for $4 per square foot, what was the price of the tract?

Rationale

The price of the tract was $160,000.

To determine the price of the tract, we first calculate its area by multiplying the width and the depth. The width is 500 feet, and the depth is 1/5 of that, which is 100 feet. Therefore, the area is 500 feet * 100 feet = 50,000 square feet. At a rate of $4 per square foot, the total price becomes 50,000 square feet * $4 = $200,000.

A ($8,000) YOUR ANSWER

This amount is incorrect because it underestimates the area of the tract. If the tract were 2,000 square feet (which would be a fraction of the actual area), then at $4 per square foot, that would yield $8,000. However, the actual area is significantly larger, leading to a much higher total price.

B ($20,000) YOUR ANSWER

This option also miscalculates the area of the tract. At $4 per square foot, $20,000 would imply an area of only 5,000 square feet. The actual area of the tract, however, is 50,000 square feet, making this choice incorrect.

C ($160,000) CORRECT

While this amount appears to be a plausible figure, it results from a misunderstanding of the calculation. The price at $4 per square foot for the actual area of 50,000 square feet amounts to $200,000, not $160,000. Thus, this answer is also incorrect.

D ($200,000) YOUR ANSWER

This is the correct answer, as it accurately reflects the total price calculated based on the area of the tract. The area of 50,000 square feet, multiplied by the rate of $4 per square foot, yields exactly $200,000.

Conclusion

The total price of the tract, determined by its area and the cost per square foot, comes to $200,000. The other options reflect either miscalculations of the area or incorrect interpretations of the pricing structure. Therefore, understanding the dimensions and calculations involved is crucial for arriving at the correct total.

A tract of land is 500 feet wide and 1/5 that deep. If the tract sold for $4 per square foot, what was the price of the tract?

The price of the tract was $160,000.

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