An irregular shaped lot has an area of 87,120 square feet. How many acres is this?
Correct Answer
B) 2.0 acres
Why this is correct: One acre equals 43,560 square feet. To convert square feet to acres, divide by 43,560: 87,120 ÷ 43,560 = 2.0 acres. Therefore B is correct. Why the other choices are wrong: A, 2.5 acres, would equal 108,900 square feet. C, 1.5 acres, would equal 65,340 square feet. D, 3.0 acres, would equal 130,680 square feet. None of these match the given 87,120 square feet. The conversion is a simple division, but the exam often tests whether you know the number of square feet in an acre. Exam tip: Memorize 43,560 square feet per acre. Divide the square footage by 43,560 to get acres.
Why This Is the Correct Answer
Option B is correct because it uses the proper conversion factor of 43,560 square feet per acre. The calculation is straightforward: 87,120 ÷ 43,560 = 2.0 acres exactly. This demonstrates the direct mathematical relationship between the two units of measurement. The answer shows that the irregular shaped lot, despite its unusual configuration, contains exactly 2 acres of land area.
Why the Other Options Are Wrong
Option A: 2.5 acres
Option A (2.5 acres) would result from dividing 87,120 by 34,848, which incorrectly underestimates the number of square feet in an acre.
Option C: 1.5 acres
Option C (1.5 acres) would result from dividing 87,120 by 58,080, which is not the correct conversion factor for acres.
Option D: 3.0 acres
Option D (3.0 acres) would result from dividing 87,120 by 29,040, which significantly underestimates the square footage per acre.
The '4-3-5-6-0' Acre Memory Method
Remember '43,560' as 'Four-Three-Five-Six-Zero' - think of it as counting down from 4 to 3, then counting up 5-6, ending with 0. Or use the phrase 'Forty-Three Thousand, Five-Sixty' and visualize a large rectangular field.
How to use: When you see any square feet to acres conversion question, immediately recall '43,560' using the counting pattern (4-3-5-6-0), then divide the given square footage by this number.
Exam Tip
Write down '1 acre = 43,560 sq ft' at the top of your scratch paper when the exam begins - this conversion appears frequently and having it visible saves time and prevents errors.
Common Mistakes to Avoid
- -Confusing the conversion factor and using 40,000 or 45,000 instead of 43,560
- -Multiplying instead of dividing when converting from square feet to acres
- -Forgetting that lot shape (irregular vs. regular) doesn't affect the area calculation
Concept Deep Dive
Analysis
This question tests the fundamental real estate measurement conversion between square feet and acres, which is essential for property valuation and land assessment. Real estate appraisers must frequently convert between different units of area measurement when analyzing properties of various sizes. The conversion factor of 43,560 square feet per acre is a critical constant that appraisers use daily in their practice. Understanding this conversion is vital for calculating property values, comparing land parcels, and determining development potential.
Background Knowledge
The acre is a unit of area measurement commonly used in real estate, equal to exactly 43,560 square feet. This conversion factor originates from historical English land measurement systems and remains the standard in American real estate practice.
Real-World Application
Appraisers regularly encounter irregularly shaped lots in subdivisions, rural properties, and urban infill sites where they must convert square footage measurements from surveys into acres for comparison with similar sales and for reporting purposes in appraisal reports.
More Property Description Questions
A building cost $2,500,000 to construct 8 years ago. Using straight-line depreciation over a 40-year life, what is the current depreciated value?
The following sale prices were recorded: $245,000, $250,000, $250,000, $255,000, $280,000. What is the mode?
A property has a replacement cost of $1,800,000. Physical deterioration is estimated at $200,000, functional obsolescence at $150,000, and external obsolescence at $100,000. What is the depreciated value using the breakdown method?
What is the present value of $150,000 to be received in 5 years, assuming a discount rate of 8%?
A triangular lot has a base of 100 feet and a height of 80 feet. What is the area in square feet?
An irregular lot can be divided into a rectangle (100' × 80') and a triangle (base 60', height 40'). What is the total area in acres?
A property has a net operating income of $85,000 and annual debt service of $68,000. What is the debt coverage ratio?
A warehouse has interior dimensions of 120 feet × 80 feet × 20 feet high. What is the volume in cubic feet?
A property is purchased for $500,000 with a loan of $400,000. What is the loan-to-value ratio?
A property sold for $400,000 with annual gross rent of $40,000. What is the gross rent multiplier?
People Also Study
Real Estate Market
13.6% of exam
Land or Site Valuation
4.5% of exam
Sales Comparison Approach
16.4% of exam
Cost Approach
13.6% of exam
Income Approach
8.2% of exam