If a 500-acre farm is divided into 300 house lots and one-eighth of the whole farm is used for streets, how many square feet are in each lot?

To determine how many square feet are in each lot, we first need to understand the total area of the farm and how much of it is available for the lots.

The farm is 500 acres in total. One acre is equivalent to 43,560 square feet. Therefore, the total area of the farm in square feet is:

500 acres * 43,560 square feet/acre = 21,780,000 square feet.

Next, we note that one-eighth of the farm is allocated for streets. To find out how much area that is, we calculate:

21,780,000 square feet / 8 = 2,722,500 square feet.

Now, we subtract the area used for streets from the total area of the farm to find out how much land is left for the house lots:

21,780,000 square feet - 2,722,500 square feet = 19,057,500 square feet available for the house lots.

Since the farm is divided into 300 house lots, we can find the size of each lot by dividing the available area by the number of lots:

19,057,500 square feet / 300 lots = 63,525 square feet per lot.

This calculation shows