First, we find what the perimeter of this triangle is equal to.
Since, according to the condition of the problem, the triangle is equilateral, its perimeter will be equal to
P = 3 * a, where a is the length of the side of the triangle.
Therefore, P = 3 * 8 = 24 (cm).
The perimeter of the square is P = 4 * a, where a is the length of the side of the square. We get:
24 = 4 * a, so a = 24: 4 = 6 (cm).
The area of the square is S = a², where a is the length of the side of the square, so the area of our square is S = 6² = 36 (cm²).
Answer: S = 36 cm².
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