To find the width of the bookmark, we can use the formula for the perimeter of a rectangle, which is given by:
\[ P = 2 \times (\text{length} + \text{width}) \]
In this case, the perimeter \( P \) is 16 centimeters, and the height (length) of the bookmark is 6 centimeters. We need to find the width.
Let's denote the width as \( w \). Plugging the known values into the perimeter formula:
\[ 16 = 2 \times (6 + w) \]
Now, we can simplify and solve for \( w \):
- Divide both sides of the equation by 2:
\[ 8 = 6 + w \]
- Subtract 6 from both sides:
\[ w = 8 - 6 \]
- Simplifying gives:
\[ w = 2 \]
Thus, the width of the bookmark is 2 centimeters.
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