https://file.aiquickdraw.com/mathbot/file/1727093072424z31x8png.jpg

Let's break down the given image and calculate the total area of the figure:

### Observations:
1. The figure is composed of two parts:
   - A rectangle with dimensions 12 meters (length) and 9 meters (height).
   - A triangle at the right end of the rectangle with a base of 14 meters (total length) minus the rectangle's length of 12 meters, leaving a base of 2 meters. The height of the triangle is given as 9 meters.

### Step-by-Step Calculation:

1. **Area of the Rectangle**:
   \[
   \text{Area}_{\text{rectangle}} = \text{Length} \times \text{Height} = 12 \, \text{m} \times 9 \, \text{m} = 108 \, \text{m}^2
   \]

2. **Area of the Triangle**:
   \[
   \text{Area}_{\text{triangle}} = \frac{1}{2} \times \text{Base} \times \text{Height} = \frac{1}{2} \times 2 \, \text{m} \times 9 \, \text{m} = 9 \, \text{m}^2
   \]

3. **Total Area**:
   \[
   \text{Total Area} = 108 \, \text{m}^2 + 9 \, \text{m}^2 = 117 \, \text{m}^2
   \]

### Conversion to square centimeters:
Since 1 meter = 100 centimeters, we convert from square meters to square centimeters by multiplying by \(10^4\):
\[
\text{Total Area in cm}^2 = 117 \, \text{m}^2 \times 10^4 = 1,170,000 \, \text{cm}^2
\]

### Final Answer:
The total area of the figure is **1,170,000 cm²**.

Let me know if you need any further clarifications!

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Would you like more details or have any questions?  
Here are some related questions for practice:
1. What is the area of a triangle with a base of 5 meters and height of 8 meters in cm²?
2. How do you convert a square meter measurement to square millimeters?
3. What is the formula for the area of a trapezoid?
4. If the height of the rectangle was doubled, what would be the new total area in m²?
5. How do you calculate the perimeter of this arrow-shaped figure?

**Tip:** Always check if the units are consistent before solving any geometry problem.

What is the total area of the figure shown? Convert the answer to cm².

Learn how to calculate the total area of a composite shape (rectangle and triangle) and convert the result to square centimeters. This step-by-step guide covers key geometric concepts and is suitable for Grades 6-8.

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