All the sides of a parallelogram are of equal length.

Answer

To determine whether the statement "All the sides of a parallelogram are of equal length" is true or false, we can analyze the properties of a parallelogram step by step.

### Step-by-Step Solution:

1. **Understanding the Definition of a Parallelogram**:
- A parallelogram is defined as a quadrilateral (four-sided figure) where the opposite sides are both equal in length and parallel to each other.

2. **Identifying the Properties**:
- In a parallelogram, if we label the vertices as A, B, C, and D, we can state:
- Side AB is parallel to side CD (AB || CD)
- Side BC is parallel to side AD (BC || AD)
- Additionally, we have:
- AB = CD (opposite sides are equal)
- BC = AD (opposite sides are equal)

3. **Analyzing the Statement**:
- The statement claims that all sides of the parallelogram are of equal length. However, based on the properties we just discussed, we can see that only the opposite sides are equal, not all four sides.
- For example, in a rectangle (which is a type of parallelogram), the lengths of the opposite sides are equal, but the adjacent sides can be of different lengths.

4. **Conclusion**:
- Since not all sides of a parallelogram are necessarily equal, the statement "All the sides of a parallelogram are of equal length" is **false**.

### Final Answer:
The statement is **false**. In a parallelogram, only the opposite sides are equal in length.