A rectangular lot measures 105 feet by 110 feet. What is the lot area in square feet?
Correct Answer
D) 11,550 sq ft
Multiply the dimensions: 105 × 110 = 11,550 square feet.
Why This Is the Correct Answer
Multiply the dimensions: 105 × 110 = 11,550 square feet.
Why the Other Options Are Wrong
Option A: 5,775 sq ft
This amount comes from dividing the true area by two.
Option B: 430 sq ft
This amount is the perimeter, not the area.
Option C: 215 sq ft
This amount comes from adding the dimensions instead of multiplying them.
Deep Analysis of This Real Estate Math Question
Rectangular lot area calculations are essential because most developed properties follow rectangular or square configurations for efficient land use and construction. Understanding these calculations enables real estate professionals to quickly assess property size, determine appropriate pricing, evaluate development potential, and ensure compliance with zoning requirements that often specify minimum lot sizes.
Background Knowledge for Real Estate Math
Rectangular property divisions became standard during American westward expansion through the Public Land Survey System, which created the grid pattern visible across much of the United States today. This systematic approach to land division made rectangular calculations fundamental to American real estate, as most properties derive from these original rectangular survey sections.
Memory Technique
Visualize the lot as a rectangle and think 'Area = Across times Along' - you walk across 105 feet, then along 110 feet, and multiply to fill the entire space. Remember that area always involves multiplication for rectangles, while perimeter involves addition.
Exam Tip for Real Estate Math
When you see two dimensions and 'area in square feet,' immediately multiply the numbers. Quickly eliminate choice C (215) as it's obviously just addition, and verify your answer is reasonable for a residential lot size - should be several thousand square feet.
Real World Application in Real Estate Math
An agent listing a 105' × 110' lot (11,550 sq ft) can immediately inform potential buyers that this exceeds most municipal minimum lot sizes and could accommodate a substantial home. The calculation helps determine asking price by comparing to recent sales of similarly-sized lots in the neighborhood.
Related Topics & Key Terms
Key Terms:
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