https://file.aiquickdraw.com/mathbot/file/1725930342729dqena4pb.jpg

The problem in the image asks to find the length of the goat pen in a scale drawing. Let's break it down step by step.

### Problem:
Kirk used a scale of **7 centimeters : 6 meters** to create the drawing. The actual length of the goat pen is **18 meters**. We need to find how long the pen is in the drawing (in centimeters).

### Approach:
This is a scale ratio problem, and the scale ratio given is:

\[
\frac{7 \text{ cm}}{6 \text{ m}}
\]

This means that for every 6 meters of the actual size, the drawing is 7 centimeters. Now, we set up a proportion where the actual length of 18 meters corresponds to an unknown length in centimeters on the drawing.

\[
\frac{7 \text{ cm}}{6 \text{ m}} = \frac{x \text{ cm}}{18 \text{ m}}
\]

We can solve for \( x \) (the length in the drawing).

### Solution:
First, cross-multiply to solve for \( x \):

\[
7 \times 18 = 6 \times x
\]

\[
126 = 6x
\]

Now, divide both sides by 6 to isolate \( x \):

\[
x = \frac{126}{6} = 21 \text{ cm}
\]

So, the length of the goat pen in the drawing is **21 centimeters**.

---

Would you like more details or have any questions about the steps? Here are some related questions:

1. How would the drawing size change if the actual pen were 24 meters long?
2. If the scale was changed to 10 centimeters : 8 meters, how long would the pen be in the drawing?
3. What is the scale factor of 7 cm to 6 meters when expressed as a unitless ratio?
4. How do you convert the scale ratio into a scale factor?
5. What would the actual length be if the pen in the drawing was 30 centimeters long at the same scale?

**Tip:** In scale drawing problems, always set up proportions and make sure units are consistent before solving.

Kirk measured a petting zoo and made a scale drawing. The scale he used was 7 centimeters : 6 meters. If the actual length of the goat pen is 18 meters, how long is the pen in the drawing?

Learn how to solve a scale drawing problem where the scale is 7 cm : 6 m, and the actual length of the goat pen is 18 meters. This problem is suitable for Grade 7 students and involves understanding scale ratios and proportions.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation