Florida Real Estate Sales Associate Examination Content OutlineReal Estate MathHard
A developer plans to build a residential subdivision on a 15-acre parcel of land. If 20% of the land must be reserved for common areas and roads, and each residential lot requires 10,000 square feet, how many residential lots can be created?
- A52 lots
- B78 lots
- C43 lots
- D65 lots
Show answer & explanationAnswer & explanation
Correct answer: A. 52 lots
First, convert acres to square feet: 15 acres * 43,560 sq ft/acre = 653,400 sq ft. Next, calculate the usable land: 653,400 sq ft * (1 - 0.20) = 653,400 sq ft * 0.80 = 522,720 sq ft. Finally, divide usable land by lot size: 522,720 sq ft / 10,000 sq ft/lot = 52.272 lots. Since you cannot have a fraction of a lot, round down to 52 lots.
Why the other options are wrong
- B. This implies an incorrect calculation, possibly using a wrong percentage for reserved land.
- C. This might result from an incorrect calculation of usable land or an error in conversion.
- D. This would be the number of lots if the entire 15 acres were used for lots (653,400 / 10,000 = 65.34).
Land Subdivision Calculation
The process of determining the number of usable lots that can be created from a larger parcel of land, accounting for reserved areas and individual lot size requirements.
- 1 acre = 43,560 square feet.
- Must account for non-buildable areas (e.g., roads, common spaces).
- Final lot count always rounds down.
Memory trick: Lots Leave Little Leftover.