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!

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.