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

The total land is 100 acres. Subtract the 10 - acre area for arterials and utility easements and the 15 - acre floodplain.
$100-(10 + 15)=75$ acres

Step2: Allocate land for residential and commercial

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

Step3: 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

Step4: Calculate net developable acreage

Net developable acreage is the available land minus the land taken by local streets.
$75-(14.0625 + 2.8125)=58.125$ acres

Answer:

$58.125$ acres