1. **Problem statement:** Construct a rectangle that can be divided into four identical squares. 2. **Understanding the problem:** A rectangle divided into four identical squares means the rectangle's area is exactly four times the area of one square, and the rectangle's length and width must be multiples of the square's side length. 3. **Formula and reasoning:** Let the side length of each square be $s$. - Each square has area $s^2$. - Four identical squares have total area $4s^2$. 4. **Dimensions of the rectangle:** To arrange four squares inside a rectangle, there are two common ways: - Place them in a 2 by 2 grid: The rectangle's length and width are both $2s$, so the rectangle is a square of side $2s$. - Place them in a 1 by 4 grid: The rectangle's length is $4s$ and width is $s$. 5. **Conclusion:** The rectangle can be constructed with dimensions either: - Length $2s$ and width $2s$ (a square), or - Length $4s$ and width $s$. Both rectangles can be divided into four identical squares of side $s$. **Final answer:** A rectangle with dimensions $2s \times 2s$ or $4s \times s$ can be divided into four identical squares of side $s$.