A site plan indicates a building setback of 25 feet from the front property line. If the lot depth is 120 feet and the building depth is 40 feet, what is the minimum rear yard setback possible?
Correct Answer
A) 55 feet
With a 25-foot front setback and 40-foot building depth, the building occupies 65 feet of the 120-foot lot depth, leaving 55 feet for the rear setback (120 - 25 - 40 = 55).
Why This Is the Correct Answer
This is a straightforward linear calculation problem involving lot dimensions and setbacks. The total lot depth of 120 feet must accommodate the front setback (25 feet), the building depth (40 feet), and the remaining space becomes the rear setback. By subtracting the front setback and building depth from the total lot depth, we get the minimum possible rear setback of 55 feet.
Why the Other Options Are Wrong
Option B: 40 feet
40 feet is incorrect because this represents only the building depth, not the remaining rear setback space. This answer ignores the front setback requirement and would place the building at the front property line.
Option C: 80 feet
80 feet is incorrect because this would be the result if you subtracted only the building depth (120 - 40 = 80) but failed to account for the required 25-foot front setback.
Option D: 25 feet
25 feet is incorrect because this represents the front setback distance, not the rear setback. This answer confuses the given front setback requirement with the calculated rear setback result.
Memory Technique
Remember 'Front + Building + Rear = Total' - think of it as three segments that must add up to the total lot depth, so Rear = Total - Front - Building
Reference Hint
Florida Building Code, Chapter 3 - Use and Occupancy Classification, or local zoning ordinances section on setback requirements
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