To find the area of the inner square, you would first need to determine the area of the outer square and then subtract the area of the four triangular sections that are outside the inner square.
Let's denote the side length of the outer square as \( L \) and the side length of the inner (tilted) square as \( l \).
The area of the outer square is given by:
\[ \text{Area of the outer square} = L^2 \]
The area of the inner square is given by:
\[ \text{Area of the inner square} = l^2 \]
Assuming you want to express the relation to find the area of the inner square by subtracting the areas of the triangles from the outer square's area, you could set up the subtraction equation like this:
\[ L^2 - \text{(Area of the 4 triangles)} = l^2 \]
However, to specifically find just the area of the inner square, the subtraction equation can simply focus on:
\[ L^2 - \text{Area of the triangles} = l^2 \]
If you have additional information on the dimensions or areas of the triangles, you could replace "Area of the triangles" with its specific numeric value or the expression for their area derived from the right triangles formed.
To summarize, the general subtraction equation to find the area of the inner square would be:
\[ L^2 - \text{Area of the triangles} = l^2 \]
If the triangles' area can be determined separately, you can substitute that value into this equation.
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