Question
The perimeter of a bookmark is 16 centimeters. The bookmark is 6 centimeters tall. How wide is it?
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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 \( w \):
1. Divide both sides of the equation by 2:
\[
8 = 6 + w
\]
2. Subtract 6 from both sides:
\[
w = 8 - 6
\]
3. Simplifying gives:
\[
w = 2
\]
Thus, the width of the bookmark is **2 centimeters**.
\[
P = 2 \times (\text{length} + \text{width})
\]
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 \( w \):
1. Divide both sides of the equation by 2:
\[
8 = 6 + w
\]
2. Subtract 6 from both sides:
\[
w = 8 - 6
\]
3. Simplifying gives:
\[
w = 2
\]
Thus, the width of the bookmark is **2 centimeters**.
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