To solve the problem, we first need to determine the correct equation representing the area of the table. The area of a rectangle is calculated using the formula:
\[ \text{Area} = \text{length} \times \text{width} \]
In this case, the dimensions of the table are given as 2 ft (length) and \( (x + 3) \) ft (width), and we know that the area is 8 ft².
Thus, we can set up the equation:
\[ 2 \times (x + 3) = 8 \]
Now, let's identify this with the provided responses:
- **: \( 2x + 3 = 8 \) - This is incorrect.
- **B**: \( 2 \times (x + 3) = 8 \) - This is correct.
- **C**: \( 2x + 5 = 8 \) - This is incorrect.
- **D**: \( 2 \times (2x + 3) = 8 \) - This is incorrect.
So, the correct equation to use is **B**: \( 2 \times (x + 3) = 8 \).
### Part B: Solve the equation for \( x \)
Now, let’s solve the equation \( 2(x + 3) = 8 \):
1. Divide both sides by 2:
\[ x + 3 = 4 \]
2. Subtract 3 from both sides:
\[ x = 4 - 3 \]
\[ x = 1 \]
Thus, the value of \( x \) is **1**.
So the response to Part B is **C**: 1.