https://r2.erweima.ai/mathbot/image/1724629297305d46x8f25.jpg

The image depicts a geometric configuration involving squares and triangles. Here's a breakdown of the provided problem and how to approach solving it:

1. **Figure Description:**
   - There is a large square labeled \( ABCD \).
   - Inside this square, there are two smaller squares, \( EFGH \) and \( IJKL \), positioned such that they share a common vertex with the large square and are rotated.

2. **Questions to Solve:**
   - \( a \). Find the area of square \( ABCD \).
   - \( b \). Find the area of square \( EFGH \).
   - \( c \). Find the area of square \( IJKL \).

### Solution Steps:

#### 1. **Find the area of square \( ABCD \):**
   - Let \( s \) be the side length of square \( ABCD \). 
   - The area of square \( ABCD \) is given by \( s^2 \).

#### 2. **Find the area of square \( EFGH \):**
   - Let \( s_1 \) be the side length of square \( EFGH \).
   - Since \( EFGH \) is a smaller square inside \( ABCD \) and touches it, we can use similar triangles or given dimensions to find \( s_1 \).
   - The area of square \( EFGH \) is \( s_1^2 \).

#### 3. **Find the area of square \( IJKL \):**
   - Let \( s_2 \) be the side length of square \( IJKL \).
   - Again, using geometric relationships (like similarity of triangles or dimensions) can help find \( s_2 \).
   - The area of square \( IJKL \) is \( s_2^2 \).

To provide more specific numerical solutions, we need actual values or relationships between these squares provided. If such values were visible in the image, we would use them to calculate the exact areas.

### Do you have any specific values or further details that can help calculate the exact areas? 

### Relative Questions:
1. What is the side length of square \( ABCD \)?
2. How is the side length of square \( EFGH \) related to that of square \( ABCD \)?
3. What geometric properties do the squares \( EFGH \) and \( IJKL \) share?
4. Are there any known angles or lengths in the triangles formed inside the square \( ABCD \)?
5. Can we apply the Pythagorean Theorem to find unknown lengths in the figure?

### Tip:
To find areas of rotated squares within a larger square, consider using trigonometric properties or similar triangles to relate their side lengths to the original square.

Learn how to calculate the areas of squares arranged inside a larger square with detailed step-by-step solutions. This problem involves geometric shapes, area calculations, and the relationship between squares within a larger geometric figure. Suitable for students in Grades 7-9.

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