Question

PART A
The top of a table has dimensions 2 ft
by x+3 ft
and has an area of 8 ft2
.

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

Responses
A 2x+3=8
B 2(x+3)=8
C 2x+5=8
D 2(2x+3)=8

Answer 1

We can use the formula for the area of a rectangle to solve for x: A = length * width.

Given that the area is 8 ft^2, the length is 2 ft, and the width is x+3 ft, we can set up the equation as:
8 = 2 * (x+3)

Therefore, the equation that can be used to find the value of x is option B: 2(x+3)=8.

Answer 2

PART B
Solve the equation for x
.

Answer 3

To solve the equation 2(x+3)=8 for x, we can follow these steps:

1. Distribute the 2 to the terms inside the parentheses:
2x + 6 = 8

2. Subtract 6 from both sides of the equation to isolate the variable x:
2x = 8 - 6
2x = 2

3. Divide both sides of the equation by 2 to solve for x:
x = 2/2
x = 1

Therefore, the value of x is 1.