Answer:
8√2 in.
Explanation:
The original square:
Perimeter = 16 in.
Side = 4 in.
New square:
Each side of the new square is the hypotenuse of an isosceles right triangle with legs of length 2 inches.
(2 in)² + (2 in.)² = s²
s² = √(8 in.²)
s = 2√2 in.
p = 4s = 4(2√2) in. = 8√2 in.