Subjects algebra

Square Area 1Ebbdd

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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 $s$ by rearranging the perimeter formula: $$s = \frac{P}{4}$$ Substitute $P = 854$: $$s = \frac{854}{4}$$ 4. **Step 2:** Simplify the fraction: $$s = \frac{\cancel{854}}{\cancel{4}} = 213.5$$ 5. **Step 3:** Calculate the area: $$A = s^2 = (213.5)^2$$ 6. **Step 4:** Compute the square: $$A = 213.5 \times 213.5 = 45522.25$$ 7. **Note:** The given answer 72916 cm² does not match the calculation from the perimeter 854 cm. The correct area based on the perimeter 854 cm is 45522.25 cm². **Final answer:** The area of the square is $45522.25$ square centimetres.