A site plan shows a building setback of 25 feet from the front property line. If the lot depth is 150 feet and the building depth is 80 feet, what is the maximum rear setback that can be achieved?
Correct Answer
A) 45 feet
With a 150-foot lot depth, 25-foot front setback, and 80-foot building depth, the rear setback equals 150 - 25 - 80 = 45 feet.
Why This Is the Correct Answer
This is a straightforward linear calculation problem involving lot dimensions and setbacks. The total lot depth must accommodate the front setback, the building depth, and the rear setback. Since these three components must add up to the total lot depth of 150 feet, we can solve for the rear setback by subtracting the known front setback (25 feet) and building depth (80 feet) from the total lot depth. This gives us 150 - 25 - 80 = 45 feet for the maximum possible rear setback.
Why the Other Options Are Wrong
Option B: 50 feet
This answer of 50 feet would require a total lot depth of 155 feet (25 + 80 + 50), which exceeds the given lot depth of 150 feet and is therefore impossible.
Option C: 55 feet
This answer of 55 feet would require a total lot depth of 160 feet (25 + 80 + 55), which significantly exceeds the available 150-foot lot depth.
Option D: 70 feet
This answer of 70 feet would require a total lot depth of 175 feet (25 + 80 + 70), which is 25 feet more than the available lot depth and therefore impossible.
Memory Technique
Remember 'FBR' - Front setback + Building depth + Rear setback = Total lot depth. Rearrange to solve for any missing component.
Reference Hint
Florida Building Code, Chapter 1, Scope and Administration - Site planning and zoning compliance sections
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