Question

w.5 add polynomials to find perimeter bas
find the perimeter. simplify your answer.
triangle with side lengths: ( 9z + 7 ), ( 7z - 5 ), ( 8z - 1 )

Explanation:

Step1: Recall perimeter formula for triangle

The perimeter \( P \) of a triangle is the sum of its three side lengths. So, \( P=(9z + 7)+(8z-1)+(7z - 5) \).

Step2: Combine like terms

First, combine the \( z \)-terms: \( 9z+8z + 7z=(9 + 8+7)z=24z \).
Then, combine the constant terms: \( 7-1-5=1 \).

Step3: Write the simplified perimeter

Putting the combined terms together, the perimeter \( P = 24z+1 \).

Answer:

\( 24z + 1 \)