To calculate the area of the given shape, we can break it down into simpler components. The shape resembles an "L," which can be divided into two rectangles.

Step-by-step process:

1. Identify the two rectangles:

   • Rectangle 1 (the vertical part):
     • Height = 9.1 mm
     • Width = 4.3 mm
   • Rectangle 2 (the horizontal part):
     • Length = 12 mm (total) - 4.3 mm (vertical part) = 7.7 mm
     • Width = 2 mm

2. Calculate the area of each rectangle:

   • Area of Rectangle 1 = height × width = $9.1 \, \text{mm} \times 4.3 \, \text{mm} = 39.13 \, \text{mm}^2$
   • Area of Rectangle 2 = length × width = $7.7 \, \text{mm} \times 2 \, \text{mm} = 15.4 \, \text{mm}^2$

3. Total Area:

   • Add the areas of the two rectangles: $39.13 \, \text{mm}^2 + 15.4 \, \text{mm}^2 = 54.53 \, \text{mm}^2$

Thus, the total area of the shape is approximately 54.53 mm².

Would you like further clarification or more details?

Additional Questions:

1. How would you calculate the perimeter of this shape?
2. Can you generalize a method for finding the area of composite shapes like this?
3. What is the difference between calculating area and perimeter for such figures?
4. How does the inclusion of right angles affect the calculation of area?
5. Can this shape be divided into any other simpler shapes?

Tip: Always verify the units when calculating areas and ensure that all dimensions are consistent.