Leonardo created a scale drawing of the school library in his art class. In the scale drawing, the length of the library is 13 inches. The length of the actual library is 78 feet.

Which scale did Leonardo use to create the scale drawing of the school library?

1 inch represents ______ feet

To determine the scale that Leonardo used, we can set up a ratio based on the relationship between the drawing length and the actual length.

The length in the drawing is 13 inches, and the actual length is 78 feet.

The ratio of inches to feet is given by:

\[
\text{Scale} = \frac{\text{Actual Length (feet)}}{\text{Drawing Length (inches)}} = \frac{78 \text{ feet}}{13 \text{ inches}} = 6 \text{ feet/inch}
\]

Thus, the scale Leonardo used is:

\[
1 \text{ inch represents } 6 \text{ feet}
\]

Let me know if you want more details or have any questions.

Here are 5 related questions:
1. If the width of the library in the drawing is 9 inches, what is the actual width of the library?
2. If the scale were 1 inch represents 8 feet, what would the length of the drawing be for a 72-foot-long library?
3. How would the scale change if the actual library were 100 feet long, but the drawing length remained 13 inches?
4. If the drawing area is 130 square inches, what is the actual area of the library in square feet?
5. How would the dimensions of the drawing change if Leonardo made a second drawing with a scale of 1 inch represents 10 feet?

**Tip:** Always remember to check the ratio between the actual length and the drawing length when determining scales!

Leonardo created a scale drawing of the school library in his art class. In the scale drawing, the length of the library is 13 inches. The length of the actual library is 78 feet. Which scale did Leonardo use to create the scale drawing of the school library? 1 inch represents ______ feet.

Learn how to calculate the scale of a drawing using proportions. In this example, Leonardo created a scale drawing of a library, with a drawing length of 13 inches and an actual length of 78 feet. Discover the method to find that 1 inch represents 6 feet. Suitable for students in Grades 6-8.

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