https://file.aiquickdraw.com/mathbot/file/1729625645441zdgojoyo.jpg

Let's solve the questions based on the provided scale and information.

### Given:
- **Scale**: \( 1 \, \text{cm} : 8 \, \text{in} \)
This means 1 cm in the drawing represents 8 inches in real life.

#### (a) Length of the real painting:
- The length in the scale drawing is **4 cm**.
- Using the scale, \( 1 \, \text{cm} \, = \, 8 \, \text{in} \).

To find the real length of the painting in inches:
\[
\text{Real length} = 4 \, \text{cm} \times 8 \, \text{in/cm} = 32 \, \text{in}
\]
So, the length of the real painting is **32 inches**.

#### (b) Height of the painting in the scale drawing:
- The height of the real painting is **48 inches**.
- Using the scale \( 1 \, \text{cm} = 8 \, \text{in} \), we need to convert 48 inches to centimeters in the scale drawing.

\[
\text{Height in drawing} = \frac{48 \, \text{in}}{8 \, \text{in/cm}} = 6 \, \text{cm}
\]
So, the height of the painting in the scale drawing is **6 cm**.

Would you like further clarification or details on these solutions?

### 5 Related Questions:
1. How would the scale change if 1 cm represented 10 inches?
2. What would be the real length of the painting if the drawing's length was 7 cm?
3. How would you find the width of the painting using the same scale?
4. What if the height of the real painting was 72 inches? What would be the height in the drawing?
5. How do scale drawings help in creating real-life designs?

### Tip:
Always ensure the units are consistent when working with scale problems; convert accordingly to avoid errors.

In a scale drawing, 1 centimeter represents 8 inches. If the length of the painting in the drawing is 4 centimeters, what is the real length of the painting? If the height of the real painting is 48 inches, what is the height in the scale drawing?

Learn how to solve a scale drawing problem where 1 cm represents 8 inches. Find the real length of the painting and the height in the scale drawing using ratios and unit conversion. Suitable for students in Grades 5-7.

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