question
the width of a rectangle measures $(8u - 2v)$ centimeters, and its length measures $(5u + 9v)$ centimeters. which expression represents the perimeter, in centimeters, of the rectangle?
answer
$26u + 14$ $26u + 14v$
$13u + 7$ $-2 + 18v + 26u$

Question

Accepted Answer

# Explanation:
## Step1: Recall the formula for the perimeter of a rectangle
The formula for the perimeter $P$ of a rectangle is $P = 2(l + w)$, where $l$ is the length and $w$ is the width. Given $l=(5u + 9v)$ and $w=(8u-2v)$.
## Step2: Substitute the length and width into the formula
$$
\begin{align*}
P&=2((5u + 9v)+(8u-2v))\
&=2(5u + 9v+8u-2v)
\end{align*}
$$
## Step3: Combine like - terms inside the parentheses
$$
\begin{align*}
P&=2((5u+8u)+(9v - 2v))\
&=2(13u + 7v)
\end{align*}
$$
## Step4: Distribute the 2
$$
\begin{align*}
P&=2\times13u+2\times7v\
&=26u + 14v
\end{align*}
$$

# Answer:
$26u + 14v$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the formula for the perimeter of a rectangle

Step2: Substitute the length and width into the formula

Step3: Combine like - terms inside the parentheses

Step4: Distribute the 2

Answer: