PART A

Question

The top of a table has dimensions 2 ft
by
(x + 3) t and has an area of 8 ft^2
.

Which of the following equations can be used to find the value of
x for this situation?

Responses
2x + 3 = 8

2 (x + 3) =8

2x + 5 = 8

2 (2x + 3) = 8

Part B
Solve the equation for x
x =

Answer 1

To solve this problem, we can start with the information given in Part A.

The area \( A \) of the table is given by the formula:

\[ A = \text{length} \times \text{width} \]

In this case, the dimensions are given as:

• Length = 2 ft
• Width = \( (x + 3) \) ft

The area is \( 8 , \text{ft}^2 \).

Setting up the equation using the area formula:

\[ 2 \times (x + 3) = 8 \]

So the correct equation from the options given is:

\[ \text{2 (x + 3) = 8} \]

Part B: Solve for \( x \)

Now, we solve the equation:

\[ 2 (x + 3) = 8 \]

1. Divide both sides by 2:

\[ x + 3 = 4 \]

2. Subtract 3 from both sides:

\[ x = 1 \]

Thus the solution for \( x \) is:

\[ \boxed{1} \]