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.