To find \( x \) in the given figure, let's consider the areas of the shapes inside the square. Each shape is a part of the square, and the sum of the areas of these shapes must be equal to the area of the square.
The areas of the shapes are given as:
- 10
- 16
- 14
Let the side length of the square be \( x \). The area of the square is \( x^2 \).
The sum of the areas of the shapes is:
\[ 10 + 16 + 14 = 40 \]
Since this sum equals the area of the square:
\[ x^2 = 40 \]
Thus, \( x \) is:
\[ x = \sqrt{40} = 2\sqrt{10} \]
So, \( x \approx 6.32 \).