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Question
essay 2 points
4314 developers, llc is considering purchasing a property for a land - development project. the property is 100 acres. the city has 10 acres worth of arterials and utility easements planned for the property. the market demand for lots allocates 75% of land area for residential and 25% for commercial. there is a 15 - acre floodplain on the property. local streets will take up 25% of residential land and 15% of commercial land. determine the net developable acreage. (12 points)
Step1: Calculate land used for local streets
The local streets take up 25% of residential land and 15% of commercial land. The property is 100 acres. First, find the amount of residential and commercial land before considering local - streets.
Residential land: $100\times75\% = 75$ acres. Land for local streets in residential area: $75\times25\%=75\times0.25 = 18.75$ acres.
Commercial land: $100\times25\% = 25$ acres. Land for local streets in commercial area: $25\times15\%=25\times0.15 = 3.75$ acres.
Total land for local streets: $18.75 + 3.75=22.5$ acres.
Step2: Calculate land occupied by easements
The easements planned for the property are 15 acres.
Step3: Calculate land occupied by arterials and floodplain
The City has 10 acres worth of arterials and there is a 15 - acre floodplain. So total land for arterials and floodplain: $10 + 15=25$ acres.
Step4: Calculate net developable acreage
The total land is 100 acres. Subtract the land for local streets, easements, arterials and floodplain.
Net developable acreage $=100-(22.5 + 15+25)$
$=100 - 62.5$
$=37.5$ acres.
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37.5 acres