find an expression for the perimeter of the figure.
25
×
2z
z
3
4z
6
3
z
2z

Question

Accepted Answer

# Explanation:
## Step1: Analyze the horizontal sides
The top - most horizontal side is $2z$, the middle horizontal "indent" has two segments of length $3$ each, and the bottom - most horizontal side is $2z$. But when calculating the perimeter, we can also think of it as two sides of length $2z + 3+3$ (by moving the inner horizontal segments to form a complete rectangle - like structure for perimeter calculation).

## Step2: Analyze the vertical sides
The left - most vertical side is $4z$, and the right - most vertical side can be considered as $z + 6+z$.

## Step3: Calculate the perimeter formula
The perimeter $P$ of a polygon is the sum of all its side lengths.
$$
\begin{align*}
P&=(2z + 3+3)+(2z + 3+3)+(4z)+(z + 6+z)\
&=(2z+6)+(2z + 6)+4z+(2z+6)\
&=2z+6+2z + 6+4z+2z+6\
&=(2z+2z+4z+2z)+(6 + 6+6)\
&=10z+18
\end{align*}
$$

# Answer:
$10z + 18$

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QUESTION IMAGE

Question

Explanation:

Step1: Analyze the horizontal sides

Step2: Analyze the vertical sides

Step3: Calculate the perimeter formula

Answer: