https://file.aiquickdraw.com/mathbot/file/1727488052676273a3v67.jpg

To calculate the area of the shaded polygon, we need to analyze the shape, which appears to be a combination of a triangle and a smaller rectangle. Here's the breakdown:

1. **Base of the large triangle** = 14 cm
2. **Height of the large triangle** = 8 cm
3. **Area of the large triangle** = \(\frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 14 \times 8 = 56 \, \text{cm}^2\)

Now, subtract the area of the small rectangle from the area of the large triangle.

4. **Area of the small rectangle**: 
   - Width = 2 cm
   - Height = 3 cm
   - Area = \(2 \times 3 = 6 \, \text{cm}^2\)

5. **Area of the shaded region** = Area of the large triangle - Area of the rectangle = \(56 - 6 = 50 \, \text{cm}^2\).

So, the area of the shaded polygon is **50 cm²**.

Would you like further details or explanations on this problem? Here are some related questions:

1. How would you calculate the area if the triangle had different dimensions?
2. How would the area change if the smaller rectangle was larger or smaller?
3. How can you calculate the perimeter of this shape?
4. How do you calculate areas of irregular polygons using basic shapes?
5. What are the differences in calculating area for composite shapes versus simple shapes?

**Tip**: When dealing with composite shapes, break them down into simpler shapes (like triangles, rectangles, or circles) to make the area calculation easier.

Calculate the area of the shaded polygon.

This geometry problem involves calculating the area of a composite shape formed by a triangle and a rectangle. The base of the triangle is 14 cm, and the height is 8 cm. Subtract the area of the small rectangle from the triangle to find the shaded region. Suitable for students in Grades 6-8.

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