Question

find the perimeter. simplify your answer.

Explanation:

Step1: Recall perimeter formula for triangle

Perimeter \( P \) of a triangle is the sum of its three sides. So, \( P=(z + 6)+(z + 6)+(2z + 8) \).

Step2: Combine like terms

First, expand the sum: \( z+6+z + 6+2z+8 \). Then combine the \( z \)-terms: \( z+z + 2z=4z \), and the constant terms: \( 6 + 6+8 = 20 \). So, \( P = 4z+20 \).

Answer:

\( 4z + 20 \)