https://file.aiquickdraw.com/mathbot/file/17303259139722ht6f5g5.jpg

To calculate the area of this shaded shape, let's analyze it step-by-step. 

This shape can be split into two parts:
1. A large right triangle.
2. A smaller right triangle at the top left corner.

### Step 1: Area of the Large Triangle
The large triangle has:
- Base = 9.4 cm
- Height = 8 cm

Using the area formula for a triangle:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
\[
\text{Area}_{\text{large}} = \frac{1}{2} \times 9.4 \, \text{cm} \times 8 \, \text{cm} = 37.6 \, \text{cm}^2
\]

### Step 2: Area of the Small Triangle
The small triangle has:
- Base = 2.4 cm
- Height = 1.8 cm

Applying the triangle area formula again:
\[
\text{Area}_{\text{small}} = \frac{1}{2} \times 2.4 \, \text{cm} \times 1.8 \, \text{cm} = 2.16 \, \text{cm}^2
\]

### Step 3: Subtract the Area of the Small Triangle from the Large Triangle
Since the shaded area is the large triangle minus the small triangle:
\[
\text{Shaded Area} = \text{Area}_{\text{large}} - \text{Area}_{\text{small}}
\]
\[
\text{Shaded Area} = 37.6 \, \text{cm}^2 - 2.16 \, \text{cm}^2 = 35.44 \, \text{cm}^2
\]

### Answer
The area of the shaded shape is:
\[
35.44 \, \text{cm}^2
\]

Would you like a more detailed breakdown or have any questions?

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Here are some related questions to explore:

1. How do you find the area of composite shapes with more complex structures?
2. How would the area calculation change if the shape included a circular segment?
3. Can the Pythagorean theorem verify the diagonal length of a right triangle in similar problems?
4. What methods can be used to approximate the area of irregular shapes?
5. How can understanding shapes help in real-world area calculations, like in architecture?

**Tip:** When working with composite shapes, breaking them down into simpler parts (like triangles or rectangles) makes it easier to calculate areas accurately.

Calculate the area of the shaded shape in the image.

Find the area of a shaded composite shape by calculating the area of two right triangles. This problem involves geometry concepts like the area of triangles and composite shapes, suitable for students in Grades 6-8.

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