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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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1 answer

  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.

  1. 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:

  2. Identify the values:

    • \( q = 5 \)
    • \( r = 9 \)
    • \( s = 8 \)

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

  4. Perform the addition:

    • First, add \( 5 + 9 = 14 \)
    • Then, add \( 14 + 8 = 22 \)

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

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