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The area of the table must be 16x²-8x square centimeters. If one dimension is 2x-1 cm, what is the length of the other dimension?

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Final answer:

The length of the other dimension is 8x cm.

Step-by-step explanation:

The area of a rectangle is found by multiplying the length and width of the rectangle. In this case, we are given that the area is 16x²-8x square centimeters.

Let the length of the rectangle be 2x-1 cm. To find the width, we can divide the area by the length:

  1. Width = Area / Length
  2. Width = (16x²-8x) / (2x-1)
  3. Width = 8x(2x-1) / (2x-1)
  4. Width = 8x

Therefore, the length of the other dimension is 8x cm.

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