If the perimeter of a square is `(8a + 16)` units. Find the length of the side of the square (in terms of a).

Answer

To find the length of the side of a square given its perimeter, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the formula for the perimeter of a square**:
The perimeter \( P \) of a square is given by the formula:
\[ P = 4 \times \text{side} \]

2. **Set up the equation**:
We know from the problem that the perimeter is given as \( 8a + 16 \). Therefore, we can set up the equation:
\[ 4 \times \text{side} = 8a + 16 \]

3. **Solve for the side**:
To find the length of the side, we need to isolate the side variable. We do this by dividing both sides of the equation by 4:
\[ \text{side} = \frac{8a + 16}{4} \]

4. **Simplify the expression**:
Now, we can simplify the right side. We can factor out the common term from the numerator:
\[ \text{side} = \frac{8a}{4} + \frac{16}{4} \]
This simplifies to:
\[ \text{side} = 2a + 4 \]

5. **Final answer**:
Thus, the length of the side of the square in terms of \( a \) is:
\[ \text{side} = 2a + 4 \]