https://file.aiquickdraw.com/mathbot/file/1727092906330h7iwxzm3.jpg

https://file.aiquickdraw.com/mathbot/file/1727092906332yutk3op1.jpg

To solve for the total area of the figure shown in the image, let's break it down:

1. **Figure Overview**: The shape consists of a rectangle attached to a triangle. The dimensions are provided in meters, and we are asked to convert the final area into square centimeters (cm²).

### Step 1: Calculate the area of the rectangle
The rectangle's dimensions are:
- Length = 12 meters
- Width = 9 meters

\[
\text{Area of the rectangle} = \text{Length} \times \text{Width} = 12 \times 9 = 108 \, \text{m}^2
\]

### Step 2: Calculate the area of the triangle
The triangle's base and height are:
- Base = 14 meters (length of the arrowhead)
- Height = 9 meters (the same height as the rectangle)

The area of a triangle is given by:

\[
\text{Area of the triangle} = \frac{1}{2} \times \text{Base} \times \text{Height} = \frac{1}{2} \times 14 \times 9 = 63 \, \text{m}^2
\]

### Step 3: Total Area in Square Meters
The total area of the figure is the sum of the areas of the rectangle and the triangle:

\[
\text{Total Area} = 108 \, \text{m}^2 + 63 \, \text{m}^2 = 171 \, \text{m}^2
\]

### Step 4: Convert Square Meters to Square Centimeters
Since \(1 \, \text{m}^2 = 10,000 \, \text{cm}^2\), we convert the area to square centimeters:

\[
\text{Total Area} = 171 \, \text{m}^2 \times 10,000 = 1,710,000 \, \text{cm}^2
\]

### Final Answer:
The total area of the figure is **1,710,000 cm²**. Since this is not one of the options listed (e.g., 24100 cm, 241 cm, etc.), it seems the options provided might be incorrect based on the calculated values.

Would you like more clarification on this, or do you have any other questions?

### Here are 5 related questions to further explore:
1. How would the area change if the triangle's base increased to 16 meters?
2. How can we convert areas between square meters and square kilometers?
3. If we extended the length of the rectangle by 5 meters, what would the new total area be?
4. How do we calculate the perimeter of this composite figure?
5. Can the formula for a triangle’s area be applied in different scenarios?

### Tip:
Always double-check unit conversions in area-related problems, especially when converting from square meters to square centimeters or other square units.

What is the total area of the figure shown, and convert the answer to cm²?

Learn how to calculate the total area of a composite figure made of a rectangle and a triangle, and convert the result from square meters to square centimeters. Detailed step-by-step instructions include using area formulas for both geometric shapes and converting units from m² to cm².

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