https://file.aiquickdraw.com/mathbot/file/17286507415964d54zn5q.jpg

The image shows a triangle where the sides are given by the following polynomials:

- One side: \( 5p + 5 \)
- Another side: \( 5p - 5 \)
- The third side: \( 3p + 4 \)

To find the perimeter, we need to add these polynomials together:

\[
(5p + 5) + (5p - 5) + (3p + 4)
\]

Let's simplify this step by step:

1. Combine the \( p \)-terms: 
   \[
   5p + 5p + 3p = 13p
   \]

2. Combine the constant terms:
   \[
   5 - 5 + 4 = 4
   \]

So, the perimeter of the triangle is:

\[
13p + 4
\]

Let me know if you need further clarification! Here are five related questions you could explore:

1. What is the perimeter if \( p = 2 \)?
2. How do we find the area of a triangle when its sides are polynomials?
3. How would the result change if the constant terms of the sides were different?
4. Can you simplify polynomials with more variables in a similar way?
5. What would be the perimeter if the sides of the triangle were expressions involving higher powers of \( p \)?

**Tip**: Always double-check your work by simplifying polynomials step by step to avoid mistakes.

Find the perimeter of a triangle where the sides are given by the polynomials 5p + 5, 5p - 5, and 3p + 4. Simplify your answer.

Learn how to find the perimeter of a triangle where the sides are given by polynomials. This problem involves adding polynomials and simplifying the expression. Suitable for students in Grades 8-10, this solution covers key algebraic concepts.

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