To find the difference between the perimeters of Min-seo's and Tanya's sand castles, we need to calculate the perimeter of each sand castle first.
Min-seo's sand castle:
Length = 64 inches
Width = 85 inches
Perimeter = 2 * (Length + Width) = 2 * (64 + 85) = 2 * 149 = 298 inches
Tanya's sand castle:
Length = 6 feet = 6 * 12 = 72 inches
Width = 8 feet = 8 * 12 = 96 inches
Perimeter = 2 * (Length + Width) = 2 * (72 + 96) = 2 * 168 = 336 inches
Now, we can find the difference between the two perimeters:
Difference = |Perimeter of Min-seo's sand castle - Perimeter of Tanya's sand castle|
Difference = |298 - 336| = 38 inches
Therefore, the difference between the two perimeters is 38 inches.