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.
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