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The top of a square coffee table has an area of 64x^(2)-48x+9. Which is the perimeter of the tabletop? A. 8x-3 B. 16x-9 C. 32x-12

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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.

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