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Answer :

We know that the area of a square is given by the following formula:

[tex]A=s^2[/tex]

Using the known value we can find s (the side of the square):

[tex]\begin{gathered} 16=s^2 \\ s=\sqrt[]{16} \\ s=4 \end{gathered}[/tex]

The perimeter of a square is:

[tex]P=4s[/tex]

Use the value of s to find the perimeter:

[tex]P=4\cdot4=16[/tex]

The perimeter is also 16. The correct choice is D.