1. The problem is to construct a rectangle that can be divided into four identical squares. 2. To solve this, we need to understand that four identical squares arranged together form a larger rectangle. 3. Each square has equal side length $s$. 4. Arranging four squares in a 2 by 2 grid creates a rectangle with width $2s$ and height $2s$. 5. Therefore, the rectangle's dimensions are $2s \times 2s$. 6. This rectangle can be divided into four identical squares, each of side length $s$. 7. In summary, any square with side length $s$ can be used to form a rectangle of dimensions $2s$ by $2s$ that contains four identical squares. 8. The rectangle is actually a larger square in this case, but it satisfies the condition of being divisible into four identical squares.