https://file.aiquickdraw.com/mathbot/file/1726606373174n6x3crgg.jpg

This problem involves scaling down a drawing of a four-square court from its real-world dimensions. Let's break it down step by step:

### 1. Initial Scale:
- The original scale from the actual court to the drawing is given as **8 feet = 1 cm**.

### 2. New Scale:
- The problem asks for a new drawing using a scale of **12 feet = 1 cm**.

### 3. Comparison of Scales:
- We are transitioning from a scale of **8 ft/cm** to **12 ft/cm**.
- To change the scale, you will need to adjust the size of your drawing by considering how the new scale compares to the old one.

The ratio of the scales can be computed as follows:

\[
\text{Scaling Factor} = \frac{12 \text{ ft/cm}}{8 \text{ ft/cm}} = 1.5
\]

This scaling factor tells you that the new drawing will be **1.5 times smaller** than the original one.

### 4. New Drawing Dimensions:
If you had the dimensions of the original drawing, you would multiply each dimension by the scaling factor of **\( \frac{8}{12} = 0.6667 \)** to make the new drawing according to the 12 ft = 1 cm scale.

Thus, any dimensions from the original drawing should be reduced by 2/3 of their original size.

### 5. Justification of Accuracy:
You can justify the accuracy of your new drawing by stating that you followed the proportionate scale factor derived from the new scale (12 feet = 1 cm). Since you used the correct ratio, the new drawing will be a scaled-down, accurate representation of the court.

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If you need help with the actual dimensions for the drawing or further details, let me know! Would you like to expand on this or have any specific questions?

### Follow-up Questions:
1. What are the actual dimensions of the four-square court?
2. How did you determine the dimensions of the original drawing?
3. Do you need help calculating the new dimensions for the court based on specific measurements?
4. Are you familiar with using scale factors in other drawings or models?
5. Do you need help visualizing how to scale the drawing?

### Tip:
When working with scales, always ensure that both your drawing and actual measurements are proportionate by the same factor.

The scale drawing at the right is a four-square court from a plan of a park. The scale from the actual court to the drawing is 8 ft to 1 cm. Draw another scale drawing of the court using a scale from the actual court to the new drawing of 12 ft to 1 cm. Justify why your drawing is accurate.

Learn how to adjust a scale drawing of a four-square court from a scale of 8 feet to 1 cm to a new scale of 12 feet to 1 cm. Understand the concepts of scaling, proportions, and ratios, and justify the accuracy of the new drawing with detailed calculations. Suitable for middle school students.

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