Verified Answer :

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

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

Given the dimensions of the rectangle:
- Length \(\( = 28 \)\) centimeters
- Width \(\( = 9 \)\) 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:
\(\[ 28 + 9 = 37 \]\)

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

So, the perimeter of the rectangle is \(\( 74 \)\) centimeters.

Therefore, the answer is:
\(\[ \boxed{74 \, \text{cm}} \]\)