Subjects algebra

Square Area 2C9B44

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1. **Problem:** The perimeter of a square is 854 cm. Find the area of the square in square centimetres. 2. **Formula:** The perimeter $P$ of a square with side length $s$ is given by: $$P = 4s$$ The area $A$ of a square is: $$A = s^2$$ 3. **Step 1:** Find the side length $s$ from the perimeter: $$854 = 4s$$ Divide both sides by 4: $$\frac{854}{\cancel{4}} = \frac{4s}{\cancel{4}} \implies s = 213.5$$ 4. **Step 2:** Calculate the area using the side length: $$A = (213.5)^2$$ $$A = 45522.25$$ 5. **Answer:** The area of the square is **45522.25 cm²**.