The problem appears to involve a geometric figure and calculations related to triangles and areas, possibly in the context of a square $ABCD$ and a triangle $EFC$ inscribed within it. The text also mentions $1 \, \text{m}^2$, which could be related to the area of $ABCD$ or some derived measurement.

To provide an accurate solution:

1. Let me extract the mathematical details from the image (geometry, shapes, given dimensions, and the problem statement).
2. I will analyze the relationships in the geometric diagram.
3. Then, I will solve the problem and provide a step-by-step explanation.

Let me process the image content.From the image, the problem involves a square $ABCD$ and a triangle $EFC$, where certain relationships between the shapes and their areas are likely being explored.

Analysis of Key Points:

1. Square $ABCD$:

   • The total area of $ABCD$ is given as $1 \, \text{m}^2$, implying that the side length of the square is $s = \sqrt{1} = 1 \, \text{m}$.

2. Triangle $EFC$:

   • The triangle $EFC$ is formed by connecting points $E$, $F$, and $C$, with $E$ on side $AD$, $F$ on $AB$, and $C$ on $BC$.
   • The problem might involve finding the area of $EFC$ in terms of the geometry provided.

3. Additional observations:

   • The smaller triangles within the square could help divide the problem into sub-areas for easier calculations.
   • Points $E$ and $F$ divide sides $AD$ and $AB$ into smaller segments, potentially involving proportions.

To solve this, I need clarification or details on:

• The relative positions of points $E$ and $F$.
• Any given relationships, such as symmetry or specific lengths for segments $AE$, $AF$, etc.

Would you like me to proceed with assumptions based on the standard geometric proportions, or can you clarify the details? Alternatively, I can cleanly extract the setup further!