A rectangular lot measures 75 feet by 150 feet. What is the total square footage of this lot?
Correct Answer
D) 11,250 square feet
Why this is correct: The area of a rectangle is found by multiplying its length by its width. For a lot 75 feet by 150 feet, the calculation is 75 feet * 150 feet = 11,250 square feet. Why the other choices are wrong: '450 square feet' results from adding the sides (75+150=225, then perhaps 225*2). '22,500 square feet' is the result of 150*150. '225 square feet' is the sum of the two dimensions. Exam tip: For area, always multiply the two perpendicular dimensions. Double-check your multiplication to avoid simple arithmetic errors.
Why This Is the Correct Answer
Option A is correct because it properly applies the basic area formula for rectangles: Area = Length × Width. When we multiply 75 feet by 150 feet, we get 11,250 square feet. This calculation follows standard mathematical principles and represents the total area enclosed within the rectangular boundaries of the lot. The answer includes the proper unit of measurement (square feet) which is essential for area calculations.
Why the Other Options Are Wrong
L × W = Area
Remember 'Length times Width equals Area' or use the acronym 'LWA' (Length, Width, Area). Visualize a rectangle and think 'multiply the sides that touch at a corner.'
How to use: When you see any rectangular area problem, immediately identify the two perpendicular dimensions and multiply them together. Always check that your answer is in square units.
Exam Tip
Double-check your multiplication by estimating: 75 × 150 is close to 80 × 150 = 12,000, so 11,250 is reasonable. Always verify your units are square feet, not linear feet.
Common Mistakes to Avoid
- -Adding dimensions instead of multiplying them
- -Confusing area calculation with perimeter calculation
- -Forgetting to use square units in the final answer
Concept Deep Dive
Analysis
This question tests fundamental area calculation skills that are essential for real estate appraisal. Square footage calculation is one of the most basic yet critical skills an appraiser must master, as it forms the foundation for property valuation, cost estimation, and comparative market analysis. The ability to quickly and accurately calculate areas is used daily in appraisal practice for determining building areas, lot sizes, and various property components. This type of calculation appears frequently on appraisal exams and represents a core competency that underlies more complex valuation methods.
Background Knowledge
Area calculation requires understanding that area represents the two-dimensional space within boundaries, measured in square units. For rectangles, the formula is always length multiplied by width, regardless of which dimension is considered length versus width.
Real-World Application
Appraisers calculate lot square footage to determine land value, verify property records, calculate price per square foot for comparables, and ensure accurate property descriptions in appraisal reports.
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