An irregularly shaped lot contains 1.5 acres. What is the lot size in square feet?
Correct Answer
C) 65,340 square feet
One acre equals 43,560 square feet. Therefore, 1.5 acres equals 1.5 × 43,560 = 65,340 square feet. The irregular shape doesn't affect the total area calculation.
Why This Is the Correct Answer
Option C is correct because it properly applies the acre-to-square-feet conversion formula. One acre equals exactly 43,560 square feet, so 1.5 acres equals 1.5 × 43,560 = 65,340 square feet. The calculation is straightforward multiplication, and the irregular shape of the lot does not affect the total area measurement. This conversion factor is a fundamental constant in real estate that appraisers must memorize and apply accurately.
Why the Other Options Are Wrong
Option A: 43,560 square feet
Option A represents the square footage of exactly one acre (43,560 sq ft), but the question asks for 1.5 acres, making this answer 0.5 acres short of the correct total.
Option B: 54,450 square feet
Option B appears to be an incorrect calculation, possibly resulting from using an wrong conversion factor or mathematical error in the multiplication process.
Option D: 87,120 square feet
Option D represents exactly 2 acres (2 × 43,560 = 87,120), which is 0.5 acres more than the 1.5 acres specified in the question.
The '43,560 Magic Number'
Remember '43,560' as 'Four-Three-Five-Six-Zero' - think of it as counting '4-3-5-6' then adding a zero. Another technique: '43' (age of maturity) + '560' (common apartment number pattern) = one acre.
How to use: When you see any acre conversion question, immediately write down 43,560 as your base number, then multiply by the number of acres given in the problem.
Exam Tip
Always write down 43,560 = 1 acre at the start of area conversion problems, and don't let descriptive words like 'irregular shaped' distract you from the basic math calculation.
Common Mistakes to Avoid
- -Forgetting the exact conversion factor and guessing at 40,000 or 50,000 square feet per acre
- -Being confused by the 'irregular shape' description and thinking it affects the calculation
- -Making arithmetic errors in the multiplication step
Concept Deep Dive
Analysis
This question tests the fundamental real estate measurement conversion between acres and square feet, which is essential for property valuation and area calculations. The key concept is that one acre always equals 43,560 square feet, regardless of the property's shape or configuration. Understanding this conversion is critical for appraisers who must accurately calculate property sizes for comparison purposes and valuation analysis. The mention of 'irregular shape' is included to test whether candidates understand that total area calculations are independent of property configuration.
Background Knowledge
The acre is a unit of area measurement commonly used in real estate, originally based on the amount of land a team of oxen could plow in one day. One acre equals exactly 43,560 square feet, which is also equivalent to 4,840 square yards or 1/640th of a square mile. This conversion factor is fundamental to real estate practice and must be memorized by appraisers for quick and accurate property size calculations.
Real-World Application
Appraisers frequently need this conversion when comparing properties listed in different units (some in acres, others in square feet), calculating price per square foot for large parcels, or when working with subdivision plats where lot sizes may be expressed in either unit of measurement.
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