Question

A developer is subdividing a 12-acre tract of land into lots measuring 80' x 110'. Each lot has a perimeter 380 feet and will sell for $4,500. He has allowed 126,720 square feet for streets and sidewalks. How many lots will be realized?

a) 55 lots
b) 50 lots
c) 60 lots
d) 65 lots

Answer 1

The developer will be able to realize a total of 45 lots.

Step-by-step explanation:

In order to determine how many lots will be realized, we need to find the total area of the land and divide it by the area of each lot. The total area of the land is 12 acres, which is equivalent to 12 x 43,560 = 522,720 square feet.

We subtract the area allocated for streets and sidewalks (126,720 square feet) from the total area to get the remaining area for lots: 522,720 - 126,720 = 396,000 square feet.

Each lot has an area of 80' x 110' = 8,800 square feet. Dividing the remaining area by the area of each lot gives us the number of lots: 396,000 / 8,800 = 45 lots.

Therefore, the correct answer is 45 lots (option b).