https://file.aiquickdraw.com/mathbot/file/1728429842723lkldpwz4.jpg

The shape in the image is an "L-shaped" polygon, which can be split into two rectangles. To calculate the area, we will find the area of each rectangle separately and then sum them up.

### Step-by-step solution:

1. **Divide the shape:**
   - **Rectangle 1 (Top part):**
     - Length = 4 cm
     - Width = 6 cm
     - Area = \( 4 \times 6 = 24 \, \text{cm}^2 \)

   - **Rectangle 2 (Bottom right part):**
     - Length = 3 cm
     - Width = 3 cm
     - Area = \( 3 \times 3 = 9 \, \text{cm}^2 \)

2. **Total area:**
   \[
   \text{Total area} = 24 \, \text{cm}^2 + 9 \, \text{cm}^2 = 33 \, \text{cm}^2
   \]

So, the area of the shape is **33 cm²**.

Would you like more details or have any questions?

### Related Questions:
1. What is the perimeter of the L-shape in this example?
2. How would the area change if the dimensions of Rectangle 1 were doubled?
3. Can you calculate the area of an irregular polygon with more than two rectangles?
4. What formula is used for calculating the area of composite shapes?
5. How would you calculate the area if the shape were 3-dimensional?

### Tip:
When dealing with composite shapes, breaking them into simpler shapes like rectangles or triangles makes calculating areas much easier.

Calculate the area of the L-shaped figure made up of two rectangles with the following dimensions: 4 cm by 6 cm for the top rectangle and 3 cm by 3 cm for the bottom rectangle.

Learn how to calculate the area of an L-shaped figure by breaking it down into two rectangles. The dimensions are 4 cm by 6 cm for the top rectangle and 3 cm by 3 cm for the bottom rectangle, with a total area of 33 cm². Suitable for students in Grades 6-8.

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