Answer :

To determine the perimeter of a rectangle, you can use the perimeter formula for a rectangle:

[tex]\[ P = 2 \times (\text{length} + \text{width}) \][/tex]

Given the dimensions of the rectangle:
- Length [tex]\( = 28 \)[/tex] centimeters
- Width [tex]\( = 9 \)[/tex] centimeters

Let's plug these values into the formula and carry out the calculation step-by-step:

1. First, add the length and the width:
[tex]\[ 28 + 9 = 37 \][/tex]

2. Next, multiply the result by 2 to get the perimeter:
[tex]\[ 2 \times 37 = 74 \][/tex]

So, the perimeter of the rectangle is [tex]\( 74 \)[/tex] centimeters.

Therefore, the answer is:
[tex]\[ \boxed{74 \, \text{cm}} \][/tex]