Answer: PN = 8√2 ≈ 11.3
Step-by-step explanation:
Perimeter of a square: P = 4s
Given: P = 64 → 64 = 4s
16 = s
Using the 45-45-90 rule: If the sides are 16, then the hypotenuse (diagonal) = 16√2
Since we only need half of the diagonal, (16√2)/2 = 8√2 ≈ 11.3