https://r2.erweima.ai/mathbot/image/17256654198813tbgj650.jpg

The image shows a polygon with five sides, where each side is labeled with algebraic expressions involving the variables \( r \), \( s \), and \( m \). The side lengths are given as follows:

- Two sides are labeled \( r \).
- One side is labeled \( 2s \).
- One side is labeled \( m \).
- The last side is labeled \( \frac{1}{2}m \).

Would you like to find the perimeter of this polygon, or do you have another specific question in mind? Let me know how you would like to proceed!

### Relative Questions
1. What is the formula for the perimeter of a polygon?
2. If \( r = 3 \), \( s = 2 \), and \( m = 4 \), what is the perimeter of the polygon?
3. How does changing the value of \( m \) affect the perimeter of the polygon?
4. Can you express the perimeter of the polygon in terms of \( r \) and \( m \) alone?
5. What would happen to the perimeter if all side lengths were doubled?

### Tip
When working with polygons, the perimeter is simply the sum of all the side lengths.

What is the perimeter of the polygon given the side lengths: two sides labeled 'r', one side labeled '2s', one side labeled 'm', and one side labeled '1/2m'?

Learn how to calculate the perimeter of a polygon with sides labeled with algebraic expressions. The problem involves adding side lengths with variables such as 'r', 's', and 'm'. Suitable for students in Grades 6-8.

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