Question

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. (2 points)

Explanation:

Step1: Calculate available land after easements

The total property is 100 acres and 10 acres are for arterials and utility easements. So the available land is $100 - 10=90$ acres.

Step2: Subtract flood - plain area

There is a 15 - acre floodplain. So the land left for development after subtracting floodplain from available land is $90 - 15 = 75$ acres.

Step3: Calculate residential and commercial land areas

Residential land: $75\times0.75 = 56.25$ acres. Commercial land: $75\times0.25=18.75$ acres.

Step4: Calculate land taken by local streets

Land taken by local streets in residential area: $56.25\times0.25 = 14.0625$ acres. Land taken by local streets in commercial area: $18.75\times0.15=2.8125$ acres. Total land taken by local streets is $14.0625 + 2.8125=16.875$ acres.

Step5: Calculate net developable acreage

Net developable acreage is $75-16.875 = 58.125$ acres.

Answer:

58.125 acres