https://file.aiquickdraw.com/mathbot/file/1726094603243mm3idi6l.jpg

The problem in the image is asking about the perimeter \( P \) of an equilateral triangle, where the perimeter is a function of the side length \( s \). Since an equilateral triangle has three equal sides, the perimeter formula is:

\[
P(s) = 3s
\]

Now, let's solve the given problems:

### a. Find \( P(2) \)
Substitute \( s = 2 \) into the formula for \( P(s) \):

\[
P(2) = 3 \times 2 = 6
\]

So, \( P(2) = 6 \).

### b. Find \( P(10) \)
Substitute \( s = 10 \):

\[
P(10) = 3 \times 10 = 30
\]

So, \( P(10) = 30 \).

### c. Find \( P(s) \)
This part is simply the general expression for the perimeter:

\[
P(s) = 3s
\]

Let me know if you need further clarification! Here are five related questions to expand your understanding:

1. What is the perimeter of an equilateral triangle if each side is 5 units long?
2. If the perimeter of an equilateral triangle is 18, what is the side length?
3. How does the perimeter change if the side length is doubled?
4. What is the area of an equilateral triangle given its side length?
5. How would you express the perimeter if the side length is a fraction, such as \( s = \frac{3}{2} \)?

**Tip:** The perimeter of any regular polygon (like an equilateral triangle) is always the number of sides multiplied by the side length.

An equilateral triangle has three sides of equal length. Function P gives the perimeter of an equilateral triangle of side length s. Find P(2), P(10), and P(s).

Learn how to find the perimeter of an equilateral triangle using the function P(s) = 3s. This problem covers essential geometry concepts and demonstrates how to apply functions to calculate perimeters. Suitable for students in Grades 6-8.

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