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find the perimeter. simplify your answer. 8z+4 8z+4 9z+4

Question

find the perimeter. simplify your answer.
8z+4
8z+4
9z+4

Explanation:

Step1: Recall perimeter of triangle

Perimeter of a triangle is the sum of its three sides. The sides are \(8z + 4\), \(8z + 4\), and \(9z + 4\).

Step2: Add the sides

\[

$$\begin{align*} \text{Perimeter}&=(8z + 4)+(8z + 4)+(9z + 4)\\ &=8z+4 + 8z+4 + 9z+4\\ &=(8z+8z+9z)+(4 + 4+4)\\ &=25z+12 \end{align*}$$

\]

Answer:

\(25z + 12\)