No that's a perimeter, solve for the perimeter 

Thank you for the clarification. Let's calculate the perimeter for each of the shapes in the image.

### Figure 1: Trapezoid
- **Top base (a)** = 16 cm
- **Bottom base (b)** = 22 cm
- **Left side (c)** = 12 cm
- **Right side (d)** = 15 cm

**Perimeter of the trapezoid** is the sum of all its sides:
\[
\text{Perimeter} = a + b + c + d
\]
Substituting the values:
\[
\text{Perimeter} = 16 + 22 + 12 + 15 = 65 \text{ cm}
\]

### Figure 2: Irregular Quadrilateral (Labelled A, B, C, D)
- **AB** = 9 cm
- **BC** = 8 cm
- **CD** = 7 cm
- **DA** = 8 cm

**Perimeter of the quadrilateral** is the sum of all its sides:
\[
\text{Perimeter} = AB + BC + CD + DA
\]
Substituting the values:
\[
\text{Perimeter} = 9 + 8 + 7 + 8 = 32 \text{ cm}
\]

### Figure 3: Trapezoid
- **Top base (a)** = 7 cm
- **Bottom base (b)** = 15 cm
- **Left side (c)** = 10 cm
- **Right side (d)** = 10 cm

**Perimeter of the trapezoid** is the sum of all its sides:
\[
\text{Perimeter} = a + b + c + d
\]
Substituting the values:
\[
\text{Perimeter} = 7 + 15 + 10 + 10 = 42 \text{ cm}
\]

### Summary of Perimeters
1. **Perimeter of Trapezoid 1**: \( 65 \text{ cm} \)
2. **Perimeter of Irregular Quadrilateral**: \( 32 \text{ cm} \)
3. **Perimeter of Trapezoid 2**: \( 42 \text{ cm} \)

Would you like further details or have any specific questions about these calculations?

Here are 5 follow-up questions you might consider:
1. What is the significance of knowing the perimeter of a shape in real-world applications?
2. How can we use the perimeter to calculate other properties, like the area, for regular shapes?
3. What happens if we change one of the side lengths in a quadrilateral or trapezoid?
4. How does the perimeter relate to the shape's symmetry?
5. What tools or formulas can help quickly calculate the perimeter for more complex shapes?

**Tip:** Always ensure to sum up all sides when calculating the perimeter of polygons, and verify that all side lengths are correctly identified.

Learn how to calculate the perimeter of various shapes including trapezoids and irregular quadrilaterals with detailed step-by-step solutions. This problem covers key geometric concepts and formulas for perimeter calculations. Suitable for students in Grades 6-8.

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