A rectangular lot measures 150 feet by 200 feet. What is the area in square feet?
Correct Answer
A) 30,000 square feet
Area of a rectangle is length × width. 150 feet × 200 feet = 30,000 square feet.
Why This Is the Correct Answer
Option A is correct because it properly applies the rectangular area formula: Area = Length × Width. With dimensions of 150 feet by 200 feet, the calculation is 150 × 200 = 30,000 square feet. This represents the total land area of the rectangular lot. The answer correctly expresses the result in square feet, which is the standard unit for measuring property area.
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 and would represent perimeter divided by 2.
Option C: 700 square feet
Option C (700 square feet) represents the perimeter of the rectangle (150 + 200 + 150 + 200 = 700), not the area, showing confusion between linear measurement and area calculation.
Option D: 15,000 square feet
Option D (15,000 square feet) appears to be half of the correct answer, possibly resulting from multiplying one dimension by half of the other (150 × 100 = 15,000), indicating an error in reading or calculating the given dimensions.
L×W Rectangle Rule
Remember 'Length times Width equals Area' with the phrase 'Long Ways Across' - visualize walking the Long way, then the Wide way, and multiply those steps to cover the entire Area.
How to use: When you see rectangular lot dimensions, immediately identify which measurement is length and which is width, then multiply them together while visualizing covering the entire surface area.
Exam Tip
Always double-check that you're multiplying (not adding) the dimensions, and verify your answer makes sense - a 150×200 lot should be substantial in size, so 30,000 sq ft is reasonable while 350 or 700 sq ft would be tiny.
Common Mistakes to Avoid
- -Adding dimensions instead of multiplying them
- -Confusing area calculation with perimeter calculation
- -Misreading one of the given dimensions and using wrong numbers
Concept Deep Dive
Analysis
This question tests fundamental geometric calculation skills essential for real estate appraisal, specifically calculating the area of rectangular lots. Area calculations are foundational to property valuation as they determine the size of the land being appraised. Understanding how to calculate square footage is critical for comparing properties, determining value per square foot, and ensuring accurate property descriptions. The question requires applying the basic formula for rectangular area: length multiplied by width.
Background Knowledge
Real estate appraisers must be proficient in basic geometric calculations to determine property areas, which directly impact property values. The area formula for rectangles (Area = Length × Width) is fundamental, as most residential and commercial lots are rectangular or can be broken down into rectangular components.
Real-World Application
Appraisers use area calculations daily when measuring lots for residential appraisals, calculating price per square foot for comparable sales, and determining the land value component of property assessments.
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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An irregular lot consists of a rectangle (100' × 150') and a triangle (base 100', height 50'). What is the total area in acres?
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An irregular lot has the following dimensions: Side A = 120 feet, Side B = 200 feet, Side C = 150 feet, Side D = 180 feet. If this lot can be divided into a rectangle (120' × 180') and a triangle with base 80 feet and height 150 feet, what is the total area?