Answer:
The perimeter is c. 28 millimeters
Step-by-step explanation:
The Perimeter of a Square
The perimeter of a square is the sum of all its side lengths. If the side length is L, then the perimeter is:
P = 4L
The diagonal of a square is the hypotenuse of a right triangle with both legs of length L.
Applying Pythagora's theorem, we find the length of the diagonal is:
[tex]D=\sqrt{2}L[/tex]
We know the diagonal of a square is
[tex]D=7\sqrt{2}[/tex]
We can find the side length L:
[tex]\sqrt{2}L=7\sqrt{2}[/tex]
Simplifying:
L = 7 millimeters
Thus, the perimeter is:
P = 4*7 = 28
The perimeter is c. 28 millimeters
