Step-by-step explanation:
Initial dimension of a sand castle is 54 inches by 77 inches. Mike decided to change the size, making it 112 inches by 38 inches.
He wanted to dug a moat around it.
The perimeter of moat with initial dimensions,
P = 2(54+77)
= 262 inches
The perimeter of moat with new dimensions,
P = 2(112+38)
= 300 inches
Difference in perimeter = 300 - 262
= 38 inches
Hence, the new dimension is 38 inches longer than the initial dimensions.
