the width of a rectangle measures $(9.3b - 9.1)$ centimeters, and its length measures $(7.2b - 4.4)$ centimeters. which expression represents the perimeter, in centimeters, of the rectangle? answer $16.5b - 13.5$ $0.4b + 5.6$ $-27 + 33b$ $0.2b + 2.8$

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 $w=(9.3b - 9.1)$ and $l=(7.2b - 4.4)$.
## Step2: Substitute the values of $l$ and $w$ into the formula
$$
\begin{align*}
P&=2((7.2b - 4.4)+(9.3b - 9.1))\
&=2(7.2b+9.3b-4.4 - 9.1)\
\end{align*}
$$
## Step3: Combine like - terms inside the parentheses
$$
\begin{align*}
P&=2((7.2 + 9.3)b+(-4.4-9.1))\
&=2(16.5b-13.5)
\end{align*}
$$
## Step4: Distribute the 2
$$
\begin{align*}
P&=2\times16.5b-2\times13.5\
&=33b - 27\
&=- 27+33b
\end{align*}
$$

# Answer:
$-27 + 33b$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the formula for the perimeter of a rectangle

Step2: Substitute the values of \(l\) and \(w\) into the formula

Step3: Combine like - terms inside the parentheses

Step4: Distribute the 2

Answer: