What is the length of side of a regular pentagon having perimeter 5.35 cm?

Options

A. 1.7 cm
B. 26.75 cm
C. 1.07 cm
D. 107 cm

Answer

To find the length of a side of a regular pentagon with a given perimeter, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the properties of a regular pentagon**: A regular pentagon has 5 equal sides.

2. **Identify the formula for the perimeter of a pentagon**: The perimeter (P) of a regular pentagon can be calculated using the formula:
\[ P = 5 \times \text{side} \]
where "side" is the length of one side of the pentagon.

3. **Substitute the given perimeter into the formula**: We know the perimeter is 5.35 cm, so we can set up the equation:
\[ 5 \times \text{side} = 5.35 \text{ cm} \]

4. **Solve for the length of one side**: To find the length of one side, divide both sides of the equation by 5:
\[ \text{side} = \frac{5.35 \text{ cm}}{5} \]

5. **Calculate the value**:
\[ \text{side} = 1.07 \text{ cm} \]

### Final Answer:
The length of each side of the regular pentagon is **1.07 cm**.

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