1. **State the problem:** We need to find the area of a square field given that its perimeter is 20 cm. 2. **Recall the formulas:** - Perimeter of a square: $$P = 4s$$ where $s$ is the side length. - Area of a square: $$A = s^2$$ 3. **Find the side length:** Given $$P = 20$$, use the perimeter formula: $$20 = 4s$$ Divide both sides by 4: $$\frac{20}{\cancel{4}} = \frac{4s}{\cancel{4}}$$ $$5 = s$$ So, the side length $s$ is 5 cm. 4. **Calculate the area:** Use the area formula: $$A = s^2 = 5^2 = 25$$ 5. **Final answer:** The area of the square field is 25 square centimeters.