https://file.aiquickdraw.com/mathbot/file/1726454082440lhtpvjh5.jpg

The figure in the image is a compound shape made up of several rectangles. To find the total area of this shape, we can divide it into simpler parts (rectangles) and sum their areas. 

Let's break the shape into three rectangles:
1. **Rectangle A (top left):**  
   - Length = 17 cm  
   - Height = 2 cm  
   - Area = \( 17 \times 2 = 34 \) square centimeters.

2. **Rectangle B (middle section):**  
   - Length = 6 cm  
   - Height = 3 cm  
   - Area = \( 6 \times 3 = 18 \) square centimeters.

3. **Rectangle C (bottom left):**  
   - Length = 8 cm  
   - Height = 7 cm  
   - However, there is a cut-out part (right bottom), so the true height is \( 7 - 2 = 5 \) cm (removing the height of the bottom cut).  
   - Area = \( 8 \times 5 = 40 \) square centimeters.

Finally, adding all these areas together:
\[
34 + 18 + 40 = 92 \text{ square centimeters}
\]

The total area of the figure is **92 square centimeters**.

Would you like further details or have any other questions? Here are some related questions:

1. How do you calculate the area of a triangle within a compound figure?
2. How do you find the area of irregular shapes?
3. What happens if a shape has overlapping parts? How do we handle that in area calculations?
4. How would the process change if the shape had curved sections?
5. What are some practical applications of finding the area of compound shapes?

**Tip:** When dealing with compound shapes, always look for ways to break them into simpler geometric figures (rectangles, triangles, etc.) to calculate the total area.

What is the area of this figure? The figure consists of several rectangles with given dimensions, including heights and lengths.

Learn how to find the area of a compound figure composed of multiple rectangles. This problem is suitable for 6th-grade students and uses simple geometry to break down the shape into smaller rectangles. Explore the step-by-step solution and practice the formula for the area of rectangles.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation