\(4 \mathrm{~cm}^{2}\)

Explanation

First, we must calculate the length of one side of the square. Since we know the perimeter is 8cm, and that a square has 4 equal sides, the length of each side can be calculated by dividing the perimeter (8cm) by 4: 8cm / 4 = 2cm The formula for the area of a square is length2 Therefore, to calculate the area of this square: 2cm2 or 2cm * 2cm

\(\text { Area }=4 \mathrm{~cm}^{2}\)

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