Emily works at a horse camp and makes a scale drawing of the barn. The width of a stable in her drawing is 15 in., and the length is 18 in. The actual width of the stable is 10 ft. What is the actual length of the stable?

To solve this problem, we'll use the concept of scale in similar figures. The scale ratio of the drawing to the actual stable can be calculated using the width. We'll then use this ratio to find the actual length of the stable.

### Step 1: Determine the scale ratio
The scale ratio is given by the ratio of the drawing's width to the actual width:

\[
\text{Scale Ratio} = \frac{\text{Drawing Width}}{\text{Actual Width}} = \frac{15 \text{ in.}}{10 \text{ ft.}}
\]

Since 1 foot is equal to 12 inches, convert the actual width to inches:

\[
10 \text{ ft.} = 10 \times 12 = 120 \text{ in.}
\]

Now, calculate the scale ratio:

\[
\text{Scale Ratio} = \frac{15 \text{ in.}}{120 \text{ in.}} = \frac{1}{8}
\]

### Step 2: Use the scale ratio to find the actual length
Now that we have the scale ratio, we can use it to find the actual length of the stable. Let \( L \) be the actual length of the stable in feet.

\[
\frac{\text{Drawing Length}}{\text{Actual Length}} = \text{Scale Ratio}
\]

\[
\frac{18 \text{ in.}}{L \text{ in.}} = \frac{1}{8}
\]

Solving for \( L \):

\[
L = 18 \times 8 = 144 \text{ in.}
\]

Convert the length from inches back to feet:

\[
L = \frac{144 \text{ in.}}{12 \text{ in./ft.}} = 12 \text{ ft.}
\]

### Final Answer
The actual length of the stable is **12 feet**.

Would you like more details, or do you have any questions about this? 

Here are five related questions you might find useful:
1. What is the concept of scale in geometry?
2. How do you convert between different units of measurement?
3. What are some real-life applications of scale drawings?
4. How do you calculate the area using a scale drawing?
5. How can scale ratios be applied to maps?

**Tip:** Always ensure your units are consistent when working with scale drawings or any mathematical problem involving measurements.

Learn how to find the actual length of a stable from a scale drawing problem. This problem involves scale drawings, ratio and proportion, and unit conversion. Suitable for students in Grades 6-8.

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