Final answer:
To compare the lengths of the farms, convert them both to the same unit and write them in scientific notation. Farmer Barton has the larger farm because it is longer.
Step-by-step explanation:
To compare the lengths of the farms in scientific notation, we need to convert them both to the same unit. Since 1 mile is equal to 5,280 feet, we can convert Farmer Barton's farm to feet by multiplying 12,800 by 1.5 = 19,200 feet.
Now we can write the lengths in scientific notation. Farmer Barton's farm is 1.92 x 10^4 feet long, while Farmer Hassan's farm is 1.5 x 5,280 = 7,920 feet long, which is equivalent to 7.92 x 10^3 feet.
Comparing the two lengths, Farmer Barton has the larger farm because his farm is longer.