1. **Stating the problem:** We have two squares, one smaller with side length $18$ and one larger with side length $66$. We want to find properties such as area or perimeter of these squares. 2. **Formula for area of a square:** The area $A$ of a square with side length $s$ is given by: $$A = s^2$$ 3. **Formula for perimeter of a square:** The perimeter $P$ of a square with side length $s$ is: $$P = 4s$$ 4. **Calculate area of smaller square:** $$A_{small} = 18^2 = 324$$ 5. **Calculate area of larger square:** $$A_{large} = 66^2 = 4356$$ 6. **Calculate perimeter of smaller square:** $$P_{small} = 4 \times 18 = 72$$ 7. **Calculate perimeter of larger square:** $$P_{large} = 4 \times 66 = 264$$ 8. **Summary:** - Smaller square area: $324$ - Larger square area: $4356$ - Smaller square perimeter: $72$ - Larger square perimeter: $264$