A residential zoning category requires at least 7,500 square feet per lot. The developer is reserving 30% of the land to streets, sidewalks, a park, and a community center. The tract of land for development consists of 120 acres. How many residential lots are available for development

487.87 lots

Explanation:

Step 1

As we know that:

392 lots = 43,560 square feet per acre

Step 2

So total lots for 120 acres would be:

392 lots * 120 = 43560 square feet per acre * 120

47040 lots = 5,227,200 square feet per acre

Step 3

The land available is 70% of total square feet:

Land available = 5,227,200 * 70% = 3,659,040 square feet per acre

Step 4

Converting these square feet into adjusted square feet per lot according to our required square feet per lot measure

Because we want to keep 7500 sq feet in a single lot (7500 sq ft / lot)

Adjusted square feet per lot according to our requirements = 3,659,040 square feet per acre / 7,500 = 487.87 lots