A rectangular lot measuring 150 feet by 200 feet contains how many square feet?
Correct Answer
A) 30,000 square feet
To calculate square footage, multiply length by width: 150 feet × 200 feet = 30,000 square feet. This equals approximately 0.69 acres (30,000 ÷ 43,560 = 0.688 acres).
Why This Is the Correct Answer
Option A is correct because area is calculated by multiplying length times width: 150 feet × 200 feet = 30,000 square feet. This is the standard formula for calculating the area of a rectangle. The calculation is straightforward multiplication with no conversion factors needed since both dimensions are already in feet. The result of 30,000 square feet represents the total area contained within the rectangular lot boundaries.
Why the Other Options Are Wrong
Option B: 350 square feet
Option B (350 square feet) appears to be the result of adding the dimensions rather than multiplying them (150 + 200 = 350), which is incorrect for area calculation. This represents a fundamental mathematical error confusing perimeter-type calculations with area calculations. The result is far too small for a lot with these dimensions.
Option C: 700 square feet
Option C (700 square feet) appears to be double the sum of the dimensions (2 × 350 = 700), which might represent a perimeter calculation but is completely incorrect for area. This could result from confusing area calculation with perimeter calculation and then doubling the result. Like option B, this result is unreasonably small for the given lot dimensions.
Option D: 0.69 acres
Option D (0.69 acres) represents the correct conversion of 30,000 square feet to acres, but the question specifically asks for square feet, not acres. While this is mathematically accurate as a conversion (30,000 ÷ 43,560 = 0.688 acres), it answers a different question than what was asked. This tests whether the candidate can identify the specific unit of measurement requested.
L×W=A Rectangle Rule
Remember 'Length times Width equals Area' and visualize drawing a rectangle while saying 'L×W=A.' For acre conversion, remember '43,560' as 'Forty-Three Thousand, Five-Sixty' - the number of square feet in one acre.
How to use: When you see rectangular dimensions, immediately think 'L×W=A' and multiply the two numbers. If conversion to acres is needed, divide your square footage result by 43,560. Always check what unit the question is asking for before selecting your answer.
Exam Tip
Always read carefully whether the question asks for square feet, acres, or another unit - the exam may provide the answer in multiple formats to test your attention to detail.
Common Mistakes to Avoid
- -Adding dimensions instead of multiplying them
- -Confusing the requested unit of measurement (square feet vs. acres)
- -Forgetting to convert units when dimensions are given in different measurements
Concept Deep Dive
Analysis
This question tests fundamental area calculation skills essential for real estate appraisal. Area calculations are used throughout appraisal practice for determining lot sizes, building areas, and calculating various ratios and values. The question specifically tests the ability to calculate square footage from linear dimensions and demonstrates the relationship between square feet and acres. Understanding these basic mathematical concepts is crucial since appraisers must accurately measure and calculate areas for comparable analysis, cost approach calculations, and property descriptions.
Background Knowledge
Area calculation requires multiplying length by width for rectangular shapes, with the result expressed in square units. One acre equals 43,560 square feet, which is a critical conversion factor used frequently in real estate. Appraisers must be proficient in both calculating areas and converting between different units of measurement.
Real-World Application
Appraisers calculate lot areas daily when measuring properties, comparing lot sizes between comparable sales, and determining land values. Accurate area calculations are essential for the cost approach when calculating building coverage ratios and for the sales comparison approach when analyzing price per square foot of land.
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