A lot contains 2.5 acres. How many square feet is this?
Correct Answer
C) 108,900 square feet
Area=2.5 acres×43,560 SF/acre=108,900 SF. Common errors: misplacing the decimal (4,356 sf per acre) gives 10,890 square feet; misplacing the decimal (435,600 sf per acre) gives 1,089,000 square feet; using 40,000 sf per acre instead of 43,560 gives 100,000 square feet.
Why This Is the Correct Answer
Option C is correct because 2.5 acres x 43,560 square feet per acre = 108,900 square feet. The conversion factor of 43,560 square feet per acre is the standard unit relationship. Multiplying by the exact factor gives the correct area.
Why the Other Options Are Wrong
Option A: 10,890 square feet
Option A, 10,890 square feet, comes from misplacing the decimal and using 4,356 square feet per acre: 2.5 x 4,356 = 10,890. The correct calculation is 2.5 x 43,560 = 108,900 square feet.
Option B: 100,000 square feet
Option B, 100,000 square feet, comes from using 40,000 square feet per acre instead of 43,560: 2.5 x 40,000 = 100,000. The correct calculation is 2.5 x 43,560 = 108,900 square feet.
Option D: 1,089,000 square feet
Option D, 1,089,000 square feet, comes from misplacing the decimal and using 435,600 square feet per acre: 2.5 x 435,600 = 1,089,000. The correct calculation is 2.5 x 43,560 = 108,900 square feet.
Four-Three-Five-Six-Oh
Remember 43,560 as the digits 4-3-5-6 followed by a zero, and check that the result has the right number of digits.
How to use: Use this to recall the acre factor and catch decimal-place errors.
Exam Tip
After multiplying, check the magnitude: 2.5 acres should be a little over 100,000 square feet. Answers off by a factor of ten signal a decimal error.
Common Mistakes to Avoid
- -Using 4,356 or 435,600 square feet per acre
- -Rounding the acre to 40,000 square feet
- -Dividing instead of multiplying by 43,560
Concept Deep Dive
Analysis
This question tests converting acres to square feet. One acre equals 43,560 square feet, so the area is the number of acres times 43,560. The distractors come from decimal errors or rounding the conversion factor.
Background Knowledge
An acre is a unit of land area equal to 43,560 square feet, and 640 acres make one square mile. Appraisers convert between acres and square feet when analyzing site size and unit prices. Accurate conversion is essential for consistent comparison of sites.
Real-World Application
An appraiser values a 2.5-acre residential site and compares it to land sales priced per square foot. Converting the site to 108,900 square feet lets the appraiser apply the comparable unit prices consistently.
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