https://file.aiquickdraw.com/mathbot/file/17258447407479zqst450.jpg

The image shows a trapezoid where the task is to find both the perimeter and area, with some dimensions provided. I will extract the dimensions and solve for both the perimeter and area.

### Given dimensions:
- Top base: 5.5
- Bottom base: 22.6
- Left leg: 16.8
- Right leg: 17.9
- Height (labeled perpendicular height): 12.9

### 1. **Perimeter of the trapezoid:**
The perimeter of a trapezoid is the sum of the lengths of all its sides:
\[
\text{Perimeter} = 5.5 + 22.6 + 16.8 + 17.9
\]
Let me calculate this.

### 2. **Area of the trapezoid:**
The area of a trapezoid is given by:
\[
\text{Area} = \frac{1}{2} \times (\text{Base}_1 + \text{Base}_2) \times \text{Height}
\]
Where:
- Base 1 = 5.5
- Base 2 = 22.6
- Height = 12.9

Now, I'll calculate both the perimeter and area.### Results:
1. **Perimeter:** 62.8 units
2. **Area:** 181.25 square units

Would you like more details on these calculations, or do you have any questions?

Here are 5 related questions for further exploration:
1. How would the area change if the height were doubled?
2. What happens to the perimeter if one leg length increases by 5 units?
3. Can you derive a formula for the perimeter of any trapezoid?
4. How does the area formula for a trapezoid relate to that of a triangle?
5. What is the difference between calculating the area of a trapezoid and a parallelogram?

**Tip

Find the perimeter and area of the trapezoid with the given dimensions: Top base = 5.5 units, Bottom base = 22.6 units, Left leg = 16.8 units, Right leg = 17.9 units, and Height = 12.9 units.

Learn how to calculate the perimeter and area of a trapezoid with given dimensions: Top base = 5.5 units, Bottom base = 22.6 units, Left leg = 16.8 units, Right leg = 17.9 units, and Height = 12.9 units. This problem covers essential geometric concepts and is suitable for students in Grades 7-9.

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