https://file.aiquickdraw.com/mathbot/file/1727412565255ydie9rji.jpg

To calculate the area of the given shape, we can break the irregular figure into simpler rectangular sections.

Looking at the image, we can divide the shape into two rectangular regions:

1. **Upper rectangle**:  
   - Length = 16 mm  
   - Height = 4 mm

   Area of this rectangle = \( 16 \, \text{mm} \times 4 \, \text{mm} = 64 \, \text{mm}^2 \)

2. **Lower rectangle** (right-angled part beneath the upper rectangle):  
   - Length = 20 mm (horizontal length)  
   - Height = 3 mm

   Area of this rectangle = \( 20 \, \text{mm} \times 3 \, \text{mm} = 60 \, \text{mm}^2 \)

Now, adding both areas together:  
Total area = \( 64 \, \text{mm}^2 + 60 \, \text{mm}^2 = 124 \, \text{mm}^2 \)

Thus, the total area of the shape is **124 mm²**.

Would you like further details or explanations? Here are a few related questions to consider:

1. How would the area change if the height of the lower rectangle increased by 2 mm?
2. Can you calculate the perimeter of the shape based on the given dimensions?
3. How would the total area change if the top rectangle were reduced to 12 mm in length?
4. What is the effect of increasing the width of the lower rectangle by 4 mm on the total area?
5. Can this shape be divided differently to simplify the calculation?

**Tip:** When solving area problems, breaking down complex shapes into simple geometric figures like rectangles or triangles can make calculations easier.

Learn how to calculate the area of a composite shape made of two rectangles with dimensions of 16 mm × 4 mm and 20 mm × 3 mm. This step-by-step solution explains how to divide the irregular shape into simpler rectangular parts and find the total area.

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