https://file.aiquickdraw.com/mathbot/file/1726716575975s83mxx52.jpg

Let's break down the problem based on the information in the image:

1. Jenna's original drawing of the Parthenon is 9 feet wide and 4 feet tall.
2. Lucas created a smaller scale drawing of Jenna's picture using a scale of \( 1 \, \text{cm} = 2 \, \text{in} \).
3. The question asks for the width of Lucas's scaled copy.

### Step-by-step Solution:
1. **Convert the width of Jenna's drawing into inches**: Since 1 foot equals 12 inches, we calculate:
   \[
   9 \, \text{ft} \times 12 \, \text{in/ft} = 108 \, \text{in}
   \]

2. **Apply the scale**: The scale given is \( 1 \, \text{cm} = 2 \, \text{in} \). This means every 2 inches in Jenna's drawing corresponds to 1 cm in Lucas's scaled drawing. Therefore, we convert the width in inches to the new scaled width in cm:
   \[
   \frac{108 \, \text{in}}{2 \, \text{in/cm}} = 54 \, \text{cm}
   \]

Thus, Lucas's scaled drawing will be **54 cm wide**.

Would you like further clarification or more details on any step?

Here are 5 related questions to deepen your understanding:
1. How would the height of Lucas’s drawing scale down?
2. If the height was scaled in the same manner, what would it be in centimeters?
3. What is the total reduction factor when scaling from Jenna's drawing to Lucas's?
4. How would you scale a different object, say 15 ft wide, using the same scale?
5. If the scale was \(1 \, \text{cm} = 3 \, \text{in}\), how wide would Lucas's drawing be?

**Tip**: When scaling, always remember to convert both dimensions (width and height) consistently to preserve the proportions of the original image!

Jenna drew a picture of Parthenon that was 9 ft wide and 4 ft tall. Lucas created a smaller scale drawing of Jenna’s picture. If Lucas used a scale of 1 cm = 2 in for his scale drawing, how wide is his scaled copy?

Solve a scale conversion problem where a drawing of the Parthenon is scaled down from 9 ft wide to a smaller version using a scale of 1 cm = 2 in. Learn step-by-step how to convert the original width from feet to inches and then apply the scale factor. This problem is suitable for Grades 6-8 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation