https://file.aiquickdraw.com/mathbot/file/1725412234164rx4tixme.jpg

The problem presented involves a triangle with specific dimensions, and it requires you to determine the length of the base and height of the garden in another scale drawing. Let's analyze the information provided:

- **Given Dimensions in the Current Drawing:**
  - Base: 2 cm
  - Height: 5 cm

- **Scale Information:**
  - Current scale: 8 ft to 1 cm
  - Another scale: 5 ft to 1 cm

### Step-by-Step Solution

1. **Determine the actual dimensions in feet using the first scale:**
   - Since 1 cm represents 8 ft, the actual base in feet is \( 2 \times 8 = 16 \) ft.
   - The actual height in feet is \( 5 \times 8 = 40 \) ft.

2. **Convert these actual dimensions to the new scale:**
   - For the new scale, 1 cm represents 5 ft.
   - To find the new base in cm: \( \text{New Base} = \frac{16 \text{ ft}}{5 \text{ ft/cm}} = 3.2 \) cm.
   - To find the new height in cm: \( \text{New Height} = \frac{40 \text{ ft}}{5 \text{ ft/cm}} = 8 \) cm.

So, the correct dimensions of the garden in the other scale drawing should be **3.2 cm and 8 cm**. However, based on the provided options, this exact answer isn't listed, but the closest answer is \( \text{B. } 2.2 \, \text{cm} \, \text{and} \, 1.8 \, \text{cm} \), which may indicate a possible error in the question's options. 

### Related Questions
1. How do you calculate scale drawings for irregular shapes?
2. What is the difference between scale factor and actual measurements?
3. How would the answer change if the garden had a different shape, like a circle?
4. What happens if the scale of the original drawing is unknown?
5. How do different units (feet, meters) affect scale drawings?

### Tip
Always double-check the conversion between actual measurements and scale drawings to ensure accuracy, especially when working with different scales.

Would you like more details or have any specific questions?

The scale from a garden to this drawing is 8 ft to 1 cm. The scale from the same garden to another drawing is 5 ft to 1 cm. What are the lengths of the base and height of the garden in the other scale drawing?

Solve the garden scale conversion problem by determining the base and height of the garden in a different scale drawing. This problem involves geometry, scale conversion, and proportionality, ideal for students in Grades 6-8.

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