9514 1404 393
Answer:
22.6
Explanation:
The diagonal of the square is they hypotenuse of an isosceles right triangle with sides of 16 inches. The Pythagorean theorem tells you its length (d) is ...
d^2 = 16^2 +16^2 = (16^2)(2)
Taking the square root, we have ...
d = 16√2 ≈ 22.6 . . . . inches