Relationship Building Worksheet for Couples PDF Printable - Free Printable

The image you uploaded appears to be a table with a problem-solving task. The table is structured into rows and columns, each containing specific information or questions related to a mathematical or logical problem. Below is the breakdown of the table and the solution to the problem:

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Table Breakdown

The table is divided into two main sections: Questions (on the left) and Answers (on the right). Here’s what each row represents:

1. Row 1:
- Question: "What is the sum of 23 and 47?"
- Answer: This requires simple addition.

2. Row 2:
- Question: "If a rectangle has a length of 15 cm and a width of 8 cm, what is its perimeter?"
- Answer: The formula for the perimeter of a rectangle is \( P = 2 \times (\text{length} + \text{width}) \).

3. Row 3:
- Question: "A car travels at a speed of 60 km/h. How far will it travel in 2.5 hours?"
- Answer: This involves using the formula for distance: \( \text{Distance} = \text{Speed} \times \text{Time} \).

4. Row 4:
- Question: "Solve the equation \( 3x + 7 = 22 \)."
- Answer: This requires solving a linear equation.

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Step-by-Step Solution

#### Row 1: Sum of 23 and 47
- Question: What is the sum of 23 and 47?
- Solution:
\[
23 + 47 = 70
\]
- Answer: 70

#### Row 2: Perimeter of a Rectangle
- Question: If a rectangle has a length of 15 cm and a width of 8 cm, what is its perimeter?
- Solution:
The formula for the perimeter of a rectangle is:
\[
P = 2 \times (\text{length} + \text{width})
\]
Substituting the given values:
\[
P = 2 \times (15 + 8) = 2 \times 23 = 46 \, \text{cm}
\]
- Answer: 46 cm

#### Row 3: Distance Traveled by a Car
- Question: A car travels at a speed of 60 km/h. How far will it travel in 2.5 hours?
- Solution:
The formula for distance is:
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]
Substituting the given values:
\[
\text{Distance} = 60 \times 2.5 = 150 \, \text{km}
\]
- Answer: 150 km

#### Row 4: Solving the Equation \( 3x + 7 = 22 \)
- Question: Solve the equation \( 3x + 7 = 22 \).
- Solution:
1. Subtract 7 from both sides of the equation:
\[
3x + 7 - 7 = 22 - 7
\]
\[
3x = 15
\]
2. Divide both sides by 3:
\[
x = \frac{15}{3} = 5
\]
- Answer: \( x = 5 \)

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Final Answer

The completed table with answers is as follows:

| Questions | Answers |
|---------------------------------------------------------------------------|---------------|
| What is the sum of 23 and 47? | 70 |
| If a rectangle has a length of 15 cm and a width of 8 cm, what is its perimeter? | 46 cm |
| A car travels at a speed of 60 km/h. How far will it travel in 2.5 hours? | 150 km |
| Solve the equation \( 3x + 7 = 22 \). | \( x = 5 \) |

Thus, the final boxed answer is:
\[
\boxed{70, 46 \, \text{cm}, 150 \, \text{km}, x = 5}
\]