Please show me how to solve:

The length of a rectangle is 3 times the width. The perimeter is 44 cm. What are the dimensions of the rectangle?

x+x+3x+3x=44

8x=44

x=5.5

L=3x=16.5cm

W=x=5.5cm

width ---- x

length ---- 3x

2(x) + 2(3x) = 44
the rest is easy.

To solve this problem, we can follow these steps:

Step 1: Define the variables.
Let's denote the width of the rectangle as "w".
Since the length is 3 times the width, we can represent it as "3w".

Step 2: Determine the formula for the perimeter.
The formula for the perimeter of a rectangle is 2(length + width).
So, for this problem, the perimeter formula can be written as:
Perimeter = 2(3w + w)

Step 3: Set up the equation.
We know that the perimeter is given as 44 cm.
So, we can set up the equation like this:
44 = 2(3w + w)

Step 4: Simplify the equation.
To simplify, we first distribute the 2 to the terms inside the parentheses:
44 = 2(4w)
Simplifying further, we have:
44 = 8w

Step 5: Solve for w.
To solve for w, divide both sides of the equation by 8:
w = 44 / 8
w = 5.5 cm

Step 6: Find the length of the rectangle.
Since the length is 3 times the width, we can substitute the value of w into the expression for the length:
Length = 3w
Length = 3 * 5.5
Length = 16.5 cm

Step 7: Determine the dimensions of the rectangle.
Therefore, the dimensions of the rectangle are:
Width = 5.5 cm
Length = 16.5 cm