https://file.aiquickdraw.com/mathbot/file/1725332301706104sff79.jpg

Let's analyze and solve the problems shown in the image.

### 1. Understanding the Figures:
The figures seem to be squares (or rhombuses) with a letter "A" inside and specific measurements provided.

#### **Figure 1**:
- The figure is a rhombus with all sides labeled as 7 cm.

#### **Figure 2**:
- The figure is another rhombus with all sides labeled as 8 cm.

#### **Figure 3**:
- The figure is a composite figure (a triangle and a square).
  - The rhombus has sides of 8 cm.
  - The triangle's base seems to be equal to the side of the rhombus, and the height is mentioned as 8 cm (diagonal).

#### **Figure 4**:
- The figure is another rhombus with all sides labeled as 8 cm.

#### **Figure 5**:
- The figure is a square with sides of 4 cm.

### 2. Perimeter Calculation:
The perimeter \( P \) of a square or rhombus is calculated using the formula:

\[
P = 4 \times \text{side length}
\]

Let's calculate each one:

1. **Figure 1:**
   \[
   P = 4 \times 7 \text{ cm} = 28 \text{ cm}
   \]

2. **Figure 2:**
   \[
   P = 4 \times 8 \text{ cm} = 32 \text{ cm}
   \]

3. **Figure 3:**
   - The rhombus's perimeter is:
     \[
     P_{\text{rhombus}} = 4 \times 8 \text{ cm} = 32 \text{ cm}
     \]
   - The triangle's perimeter is not fully clear as the side lengths are not fully specified.
  
4. **Figure 4:**
   \[
   P = 4 \times 8 \text{ cm} = 32 \text{ cm}
   \]

5. **Figure 5:**
   \[
   P = 4 \times 4 \text{ cm} = 16 \text{ cm}
   \]

### 3. Composite Figure in Figure 3
Since Figure 3 is a composite figure, you might be asked to sum the perimeters of both the rhombus and the triangle. However, with limited information on the triangle's sides, we can only consider the rhombus part clearly.

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Would you like to dive into more details on the composite figure, or do you have any specific questions on the calculations? Here are some related questions:

1. How to calculate the perimeter of a triangle given all sides?
2. What is the difference between the perimeter of a rhombus and a square?
3. How would you calculate the perimeter if one side is not given directly?
4. What role does symmetry play in simplifying perimeter calculations?
5. How does the concept of a composite figure affect perimeter calculations?

**Tip:** Always verify if a given figure is symmetrical, as it can greatly simplify the calculations.

Explore how to solve perimeter problems involving rhombuses and composite figures with triangles. Includes detailed calculations for squares and rhombuses with specific side lengths. Suitable for Grades 7-9.

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