write the simplified expression for the rectangles perimeter. -9x - 2 -x + 4

Question

Accepted Answer

# Explanation:
## Step1: Write the formula for the perimeter of a rectangle
The perimeter formula of a rectangle is $P = 2(l + w)$, where $l$ is the length and $w$ is the width. Here, $l=-x + 4$ and $w=-9x - 2$.
## Step2: Substitute the values of length and width into the formula
$$
\begin{align*}
P&=2((-x + 4)+(-9x - 2))\
&=2(-x + 4-9x - 2)
\end{align*}
$$
## Step3: Combine like - terms inside the parentheses
$$
\begin{align*}
P&=2((-x-9x)+(4 - 2))\
&=2(-10x+2)
\end{align*}
$$
## Step4: Distribute the 2
$$
\begin{align*}
P&=2\times(-10x)+2\times2\
&=-20x + 4
\end{align*}
$$

# Answer:
$-20x + 4$

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QUESTION IMAGE

Question

Explanation:

Step1: Write the formula for the perimeter of a rectangle

Step2: Substitute the values of length and width into the formula

Step3: Combine like - terms inside the parentheses

Step4: Distribute the 2

Answer: