A piece of string is 30 cm long. What will be the length of each side if the string is used to form :
a regular hexagon ?

Answer

To find the length of each side of a regular hexagon formed by a piece of string that is 30 cm long, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the properties of a regular hexagon**: A regular hexagon has 6 equal sides.

2. **Identify the total length of the string**: The total length of the string is given as 30 cm.

3. **Set up the equation for the perimeter of the hexagon**: The perimeter (P) of a regular hexagon can be expressed as:
\[ P = 6 \times \text{side} \]
where "side" is the length of one side of the hexagon.

4. **Equate the perimeter to the length of the string**: Since the string forms the perimeter of the hexagon, we can write:
\[ 6 \times \text{side} = 30 \text{ cm} \]

5. **Solve for the length of one side**: To find the length of one side, divide both sides of the equation by 6:
\[ \text{side} = \frac{30 \text{ cm}}{6} \]

6. **Calculate the value**:
\[ \text{side} = 5 \text{ cm} \]

### Final Answer:
The length of each side of the regular hexagon is **5 cm**.

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