ANSWER
Step-by-step explanation
The square has a perimeter of 32.
The perimeter of a square is given as:
where L = length of the side of the square
Therefore, we have that for the given square:
The square has sides 8 units long.
To find the length of the diagonal, apply Pythagoras theorem, since the diagonal forms a right triangle with the sides of the square:
where hyp = hypotenuse of the triangle (diagonal)
a, b = legs of the triangle (side lengths of the square)
Therefore, we have that:
That is the length of the diagonal.