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land-or-site-valuationhard

A 12-acre tract loses 20 percent of its area to streets and drainage, and zoning permits four lots per net acre. How many lots can be platted?

Correct Answer

D) 38 lots

Why this is correct: First, calculate net acreage: 12 acres × (100% - 20%) = 12 × 0.80 = 9.6 net acres. Then, calculate lots: 9.6 net acres × 4 lots per acre = 38.4 lots. Since only whole lots can be platted, round down to 38 lots. Why the other choices are wrong: '48 lots' incorrectly uses gross acreage (12 × 4). '44 lots' and '40 lots' result from miscalculating the 20% loss or rounding errors. Exam tip: In development problems, always apply density (lots per acre) to the net usable area after deducting land for streets, drainage, etc.

Answer Options
A
48 lots
B
44 lots
C
40 lots
D
38 lots

Why This Is the Correct Answer

Why this is correct: First, calculate net acreage: 12 acres × (100% - 20%) = 12 × 0.80 = 9.6 net acres. Then, calculate lots: 9.6 net acres × 4 lots per acre = 38.4 lots. Since only whole lots can be platted, round down to 38 lots. Why the other choices are wrong: '48 lots' incorrectly uses gross acreage (12 × 4). '44 lots' and '40 lots' result from miscalculating the 20% loss or rounding errors. Exam tip: In development problems, always apply density (lots per acre) to the net usable area after deducting land for streets, drainage, etc.

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