Answer:
The perimeter of the tabletop is given by the formula P=4s, where s is the length of one side of the square. For this coffee table, we need to calculate the length of one side first.
The area of a square is given by A=s^2, or s^2 = 64x^2 - 48x + 9.
Now, let's solve for s: s^2 = 64x^2 - 48x + 9 → s =sqrt(64x^2 - 48x + 9).
Finally, we can calculate the perimeter: P=4s = 4sqrt (64x^2 - 48x + 9) = 16x - 9.
Therefore, the answer is B. 16x-9.