Let's analyze the problem based on the image you uploaded.

The problem gives the following information:

• The total area of Garden A and Garden B is 204 m².
• Garden A is a rectangle with dimensions 6 m by 16 m.
• We need to find the area of Garden B.

Step-by-Step Solution:

1. Find the area of Garden A: The area of a rectangle is calculated by multiplying its length by its width. For Garden A: $\text{Area of Garden A} = 6 \, \text{m} \times 16 \, \text{m} = 96 \, \text{m}^2$

2. Determine the area of Garden B: The total area of both gardens is 204 m². Therefore, the area of Garden B can be found by subtracting the area of Garden A from the total area: $\text{Area of Garden B} = 204 \, \text{m}^2 - 96 \, \text{m}^2 = 108 \, \text{m}^2$

Thus, the area of Garden B is 108 m².

Would you like further clarification or more details on any part of this solution? Here are 5 related questions to expand your understanding:

1. How do you calculate the perimeter of Garden B based on its area?
2. If the width of Garden B is known, how do you determine its length?
3. What if the total area was larger—how would that affect the calculations?
4. Can you calculate the cost to maintain Garden B if it costs $2 per square meter?
5. How would the problem change if Garden A had a different shape?

Tip: When solving area problems, always ensure that the units are consistent to avoid confusion.