An artist makes a scale drawing of a parallelogram-shaped sculpture.
The scale is 10cm on the drawing for every 8m on the sculpture.
What is the area of the scale drawing?

To find the area of the scale drawing, we need to calculate the area of the original sculpture and then scale it down based on the given scale factor.

### Step 1: Scale Factor
The scale is \( 10 \, \text{cm} \) on the drawing for every \( 8 \, \text{m} \) on the sculpture. 
We need to convert the measurements to the same unit. Let's use meters:
\[
10 \, \text{cm} = 0.1 \, \text{m}
\]
So the scale ratio is:
\[
\frac{0.1 \, \text{m}}{8 \, \text{m}} = \frac{1}{80}
\]
This means that every dimension on the drawing is \( \frac{1}{80} \) of the actual sculpture's dimension.

### Step 2: Scale the Area
The area is proportional to the square of the scale factor. Thus, the area of the scale drawing is \( \left(\frac{1}{80}\right)^2 = \frac{1}{6400} \) of the area of the sculpture.

### Step 3: Conclusion
To find the area of the scale drawing, you would need the area of the original sculpture. Once you have the area of the original sculpture \( A_{\text{sculpture}} \), you can multiply it by \( \frac{1}{6400} \) to get the area of the scale drawing:
\[
A_{\text{drawing}} = \frac{A_{\text{sculpture}}}{6400}
\]

If you have the area of the original sculpture, I can help you calculate the area of the drawing precisely. Would you like to provide that, or do you have any further questions on this?

### Further Questions:
1. How do you calculate the area of a parallelogram?
2. Can you explain the relationship between scale factor and area?
3. How would the process change if the scale were different?
4. How does the shape of the figure affect the scaling of its area?
5. How does the conversion of units impact the solution?

**Tip:** Always ensure that all units are consistent before applying scale factors.

An artist makes a scale drawing of a parallelogram-shaped sculpture. The scale is 10cm on the drawing for every 8m on the sculpture. What is the area of the scale drawing?

Learn how to calculate the area of a scale drawing of a parallelogram-shaped sculpture. This problem uses scale factor proportionality, area scaling formulas, and provides a detailed step-by-step solution. Ideal for students in Grades 7-10.

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