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:
- Width = Area / Length
- Width = (16x²-8x) / (2x-1)
- Width = 8x(2x-1) / (2x-1)
- Width = 8x
Therefore, the length of the other dimension is 8x cm.