Question

1. \\(\frac{3}{4}r + 2r + \frac{1}{2}r\\)\
2. \\(1.5r - 3r + 8r + 2.5r\\)\
3. \\(\frac{2}{3}p + \frac{4}{3}p - \frac{1}{3}p\\)\
4. simplify an expression for the perimeter of the rectangle.\

(rectangle with side 3w and 5w - 2)\
perimeter: \underline{\qquad}\
©maneuvering the middle llc, 2016

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. Here, \(l=5w - 2\) and \(w = 3w\).

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

$$
LATEXBLOCK0
$$

Step3: Combine like - terms inside the parentheses

\(5w+3w=8w\), so \(P = 2(8w - 2)\)

Step4: Distribute the 2

$$
LATEXBLOCK1
$$

Answer:

\(16w - 4\)