https://file.aiquickdraw.com/mathbot/file/1730888047587jx0dcdpq.jpg

To find the area of the given figure, let's analyze its structure. This figure can be divided into simpler shapes for easier calculation.

1. **Identify the Shapes:**
   - The figure consists of a larger rectangle on the bottom and a smaller rectangle on the top.
   - There is a triangular section missing between these two rectangles.

2. **Calculate the Areas of the Rectangles:**
   - **Top Rectangle:** 
     - Width = 17 cm
     - Height = 7 cm
     - Area = \( 17 \times 7 = 119 \) cm²
   - **Bottom Rectangle:** 
     - Width = 23 cm
     - Height = 10 cm
     - Area = \( 23 \times 10 = 230 \) cm²

3. **Calculate the Area of the Missing Triangle:**
   - The missing triangular section has a base of 9 cm and a total height of 7 + 10 = 17 cm.
   - Area of the triangle = \( \frac{1}{2} \times 9 \times 17 = \frac{1}{2} \times 153 = 76.5 \) cm²

4. **Calculate the Total Area of the Figure:**
   - Total area = Area of top rectangle + Area of bottom rectangle - Area of missing triangle
   - Total area = \( 119 + 230 - 76.5 = 272.5 \) cm²

**Answer:**
The area of the figure is **272.5 cm²**.

Would you like further clarification on any step or additional details?

Here are some related questions to explore:

1. How would the area change if the missing triangle was repositioned?
2. What is the perimeter of the given figure?
3. How would the area calculation change if only one of the rectangles was present?
4. Can this figure be divided differently to simplify calculations further?
5. How can we use symmetry to solve problems in complex figures?

**Tip:** When solving for areas of irregular shapes, break them down into familiar shapes like rectangles and triangles.

Find the area of the figure with the given dimensions: a top rectangle with width 17 cm and height 7 cm, a bottom rectangle with width 23 cm and height 10 cm, and a missing triangular section with a base of 9 cm and height 17 cm.

Learn how to find the area of a composite figure consisting of two rectangles and a missing triangular section. This problem includes area calculations using rectangle and triangle formulas, providing a step-by-step solution suitable for students in Grades 8-10.

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