Question

1. Which equation represents the perimeter for the given triangle?

(2 points)
Responses

P = q + r + s
P = q + r + s

P = 2q + 2r + 2s
P = 2q + 2r + 2s

P = 2(u + t)
P = 2(u + t)

P = mx + b
P = mx + b

q + r = s + r
q + r = s + r
Question 2
2. Show how to use the equation for the perimeter of a triangle to find the perimeter when q = 5, r = 9, and s = 8.

(2 points)
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Answer 1

1. The correct equation that represents the perimeter of a triangle is:

**P = q + r + s**

This equation states that the perimeter (P) is the sum of the lengths of all three sides of the triangle, which are represented by q, r, and s.

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2. To find the perimeter of the triangle using the equation \( P = q + r + s \) when \( q = 5 \), \( r = 9 \), and \( s = 8 \), follow these steps:

1. **Identify the values:**
- \( q = 5 \)
- \( r = 9 \)
- \( s = 8 \)

2. **Substitute the values into the perimeter equation:**
\[
P = 5 + 9 + 8
\]

3. **Perform the addition:**
- First, add \( 5 + 9 = 14 \)
- Then, add \( 14 + 8 = 22 \)

4. **Conclusion:**
The perimeter \( P \) of the triangle is \( 22 \) units.

Therefore, the perimeter of the triangle is \( P = 22 \).