Given that
There is a square with its side as PQ = 2x + 8 and the perimeter is 96. And we have to find the side PQ of the square.
Explanation -
As it is a square and all the sides of the square are the same.
Since the perimeter is the sum of all the sides and its formula is given as
[tex]Perimeter\text{ of square = 4}\times side[/tex]
On substituting the value we have
[tex]\begin{gathered} 96=4\times(2x+8) \\ \frac{96}{4}=2x+8 \\ 24=2x+8 \\ 2x=16 \\ x=8 \\ So,\text{ PQ = 2}\times8+8=16+8=24 \\ PQ=24 \end{gathered}[/tex]
So the correct option is A.
Hence, the final answer is 24.
