A rectangular lot measures 150 feet by 200 feet. What is the area of the lot in square feet?
Correct Answer
A) 30,000 square feet
Area of a rectangle is calculated by multiplying length × width. 150 feet × 200 feet = 30,000 square feet.
Why This Is the Correct Answer
Option A is correct because the area of a rectangle is calculated using the formula: Area = Length × Width. With dimensions of 150 feet by 200 feet, the calculation is straightforward: 150 × 200 = 30,000 square feet. This represents the total area contained within the rectangular boundary of the lot. The calculation follows basic geometric principles that are fundamental to real estate measurement and valuation.
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.
Option C: 700 square feet
Option C (700 square feet) seems to be double the perimeter calculation, suggesting confusion between area and perimeter concepts in geometric measurement.
Option D: 15,000 square feet
Option D (15,000 square feet) is exactly half the correct answer, possibly resulting from a calculation error such as dividing by 2 or miscalculating one of the dimensions.
L×W Rectangle Rule
Remember 'Length times Width = Area' with the phrase 'Love Wins Always' where L×W=A. Visualize a rectangle as a grid of unit squares that you count by multiplying rows times columns.
How to use: When you see any rectangular area problem, immediately identify the two perpendicular measurements and multiply them together, avoiding the temptation to add, divide, or perform other operations.
Exam Tip
Always double-check your multiplication by estimating: 150 × 200 is close to 150 × 200 = 30,000, which should feel reasonable for a decent-sized residential lot.
Common Mistakes to Avoid
- -Adding dimensions instead of multiplying them
- -Confusing area calculation with perimeter calculation
- -Making arithmetic errors in multiplication
Concept Deep Dive
Analysis
This question tests fundamental geometric calculation skills essential for real estate appraisal. Area calculations are foundational to property valuation as they determine the size of lots, buildings, and usable spaces. Understanding how to calculate rectangular areas is critical since most properties have rectangular or square dimensions. The ability to quickly and accurately compute area measurements directly impacts property assessments and comparative market analyses.
Background Knowledge
Real estate appraisers must master basic geometric formulas to calculate property areas, as these measurements form the foundation for property valuation. Area calculations are used in cost approaches, sales comparisons, and income approaches to determine property values accurately.
Real-World Application
Appraisers use area calculations daily when measuring lots for the cost approach, comparing properties by price per square foot, and determining the size of improvements for valuation purposes.
More Math & Stats Questions
What is the area of a triangular lot with a base of 120 feet and a height of 80 feet?
An irregular lot has the following measurements: Side A = 100', Side B = 150', Side C = 120', Side D = 180'. If the lot can be divided into two rectangles (100' × 150' and 120' × 30'), what is the total area?
A property has a potential gross income of $180,000, vacancy and collection loss of 7%, and operating expenses of $65,000. What is the NOI?
A property generates $120,000 in net operating income and is valued at $1,500,000. What is the capitalization rate?
A building has potential gross income of $180,000, vacancy and collection loss of 8%, and operating expenses of $54,000. What is the net operating income?
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