https://file.aiquickdraw.com/mathbot/file/172608655935565lytt04.jpg

To solve this problem, Estelle wants the paperweight (the model) to be \(\frac{1}{5}\) the size of the actual monitor.

### Given:
- The actual monitor's dimensions:
  - Height of the stand: 2 inches
  - Height of the screen: 13 inches
  - Total height: 15 inches

### Calculating the Model's Height:

1. **Height of the Stand in the Model:**
   \[
   \text{Model Stand Height} = \frac{1}{5} \times \text{Actual Stand Height} = \frac{1}{5} \times 2 = 0.4 \text{ inches}
   \]

2. **Height of the Screen in the Model:**
   \[
   \text{Model Screen Height} = \frac{1}{5} \times \text{Actual Screen Height} = \frac{1}{5} \times 13 = 2.6 \text{ inches}
   \]

3. **Total Height of the Model:**
   \[
   \text{Model Total Height} = \frac{1}{5} \times \text{Actual Total Height} = \frac{1}{5} \times 15 = 3 \text{ inches}
   \]

### Answer:
- **Model Height:** 3 inches
- **Monitor Height:** 15 inches

Would you like to explore more about this topic or have any other questions?

### Related Questions:
1. How would the scale change if the model needed to be \(\frac{1}{3}\) the size of the monitor?
2. What would be the model dimensions if the total monitor height was 20 inches instead?
3. How to calculate the dimensions if the paperweight is twice as large as the current model?
4. What is the importance of maintaining scale proportions in design?
5. How would you calculate the volume of the paperweight if it were a 3D model?

**Tip:** Understanding how to calculate scales is crucial in design and model-making, ensuring accuracy and proportionality!

Estelle is designing a new paperweight to be sold at electronics stores. The paperweight will look like a certain computer monitor. She wants the paperweight to be 1/5 the size of the actual monitor. The heights of the main elements of the computer monitor are: the height of the stand is 2 inches, the height of the screen is 13 inches, and the total height is 15 inches. Enter the scale.

Learn how to calculate the scale for a model by designing a paperweight that is 1/5 the size of an actual computer monitor. Understand key mathematical concepts such as ratio, proportion, and scaling. Suitable for students in Grades 6-8.

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