Sure, let's solve this step-by-step.
1. Understanding the problem:
- We are given the perimeter of a rhombus.
- The perimeter of a rhombus is the total length around the rhombus.
- All four sides of a rhombus are of equal length.
2. Given:
- Perimeter of the rhombus is 28 centimeters.
3. Formula:
- The perimeter of a rhombus can be calculated by adding up the lengths of all four sides. Since all sides are equal, we can represent the perimeter [tex]\(P\)[/tex] as:
[tex]\[
P = 4 \times \text{side\_length}
\][/tex]
- We need to find the [tex]\(\text{side\_length}\)[/tex].
4. Rearrange the formula to solve for the side length:
[tex]\[
\text{side\_length} = \frac{P}{4}
\][/tex]
5. Substitute the given perimeter into the formula:
[tex]\[
\text{side\_length} = \frac{28 \text{ cm}}{4}
\][/tex]
6. Calculate:
[tex]\[
\text{side\_length} = 7 \text{ cm}
\][/tex]
Therefore, the length of each side of the rhombus is [tex]\(7\)[/tex] centimeters.
So, the correct answer is:
7 cm
