Let's go through the problem visible in the image:

Problem 3:

• Given:
  • A scale drawing of a parallelogram-shaped sculpture.
  • The scale is $10 \, \text{cm}$ on the drawing for every $8 \, \text{m}$ on the sculpture.
  • You are asked to find the area of the scale drawing.

Solution Approach:

1. Scale conversion:

   • The scale tells us that $10 \, \text{cm}$ on the drawing corresponds to $8 \, \text{m}$ on the sculpture.
   • The area scale factor is the square of the linear scale factor. So, if $1 \, \text{cm}$ represents $0.8 \, \text{m}$, then the area on the drawing will be reduced by $(0.1)^2 = 0.01$ times the area of the sculpture.

2. Find the actual dimensions of the drawing:

   • Convert the dimensions of the sculpture to the scale drawing using the scale factor. The provided diagram shows some calculations and conversions, though the units seem incomplete.

3. Calculate the area:

   • The area in the drawing should be calculated by multiplying the reduced dimensions of the sculpture. According to the notes, the final area calculation on the drawing is $7.5 \, \text{cm}^2$.

Problem 4(a):

• Given:

  • Each centimeter represents $50 \, \text{m}$.
  • The area of a rectangular park on the map is $6 \, \text{cm}^2$.
  • Tameka claims she can multiply the area on the map by 2,500 to get the actual area in square meters.

• Solution:

  • For every centimeter on the map, it represents $50 \, \text{m}$, so the area scale factor is $(50)^2 = 2500$.
  • Tameka is correct because multiplying the map area by 2500 gives the real-world area: $6 \, \text{cm}^2 \times 2500 = 15,000 \, \text{m}^2.$

Do you want more detailed explanations for these? Let me know if you need any further clarification.

Here are some additional related questions:

1. What is the linear scale factor of the parallelogram sculpture?
2. How would you calculate the area of a parallelogram from its base and height?
3. How does the area scale factor relate to the linear scale factor?
4. If the scale was different (e.g., 1 cm = 10 m), how would the area change?
5. What real-life applications require the use of scale drawings?

Tip: When converting between scales, always remember that areas change by the square of the linear scale factor.