https://file.aiquickdraw.com/mathbot/file/1727318425311apuqtx70.jpg

The question in the image asks for the scale used in a drawing of a swimming pool. It states:

"In real life, the diving board is 22 feet long. It is 4 inches long in the drawing. What scale did Jose use for the drawing? Show how you know."

To find the scale, we need to compare the real-life length of the diving board to its length in the drawing. Here’s how to solve it:

1. **Convert the real-life length to inches:**
   Since 1 foot = 12 inches, 22 feet = 22 × 12 = 264 inches.

2. **Determine the scale factor:**
   The length in the drawing is 4 inches. The scale factor is the ratio of the length in the drawing to the real-life length.
   \[
   \text{Scale} = \frac{\text{Length in Drawing}}{\text{Real Length}} = \frac{4 \text{ inches}}{264 \text{ inches}} = \frac{1}{66}
   \]
   This means the scale is 1 inch on the drawing represents 66 inches in real life.

3. **Scale Representation:**
   The scale Jose used is 1 inch : 66 inches, which can also be written as 1 inch : 5.5 feet (since 66 inches = 5.5 feet).

Would you like further details or have any questions about this problem?

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**Related Questions:**

1. How do you convert between different units of measurement when working with scales?
2. How can you determine the scale of a drawing if only given the area of objects?
3. What are the most common scales used in architectural drawings?
4. How would the drawing scale change if the real-life object were 30 feet long instead?
5. How do you apply scale conversion to calculate actual distances on maps?

**Tip:** Always ensure that both quantities in a ratio or scale comparison are in the same units before performing calculations.

Jose measured a swimming pool and made a scale drawing to help him plan the landscape for his backyard. In real life, the diving board is 22 feet long. It is 4 inches long in the drawing. What scale did Jose use for the drawing? Show how you know.

Learn how to calculate the scale of a drawing based on real-life measurements. This problem involves determining the scale ratio between a 22-foot diving board and its 4-inch representation in a drawing. Suitable for students in Grades 6-8.

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