If each side of square will be doubled, then its perimeter will be

Options

A. 2 times
B. 3 times
C. 4 times
D. 8 times

Answer

To solve the problem step by step, we will analyze the situation where each side of a square is doubled and then find the new perimeter.

### Step-by-Step Solution:

1. **Understand the Square**:
- A square has four equal sides. Let's denote the length of one side of the square as \( A \).

2. **Calculate the Original Perimeter**:
- The perimeter \( P \) of a square is calculated by adding the lengths of all four sides.
- Therefore, the formula for the perimeter of a square is:
\[ P = 4 \times A \]

3. **Double Each Side**:
- If each side of the square is doubled, the new length of each side becomes \( 2A \).

4. **Calculate the New Perimeter**:
- Now, we calculate the perimeter of the new square with the doubled sides:
\[ \text{New Perimeter} = 4 \times (2A) \]
- Simplifying this gives:
\[ \text{New Perimeter} = 8A \]

5. **Conclusion**:
- The new perimeter of the square, after doubling each side, is \( 8A \).

### Final Answer:
- If each side of the square is doubled, its perimeter will be \( 8A \).

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