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Mathematics

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Answer

36 cm236 \text{ cm}^2

Step-by-step solution

2 steps
  1. Calculate the side length of the square using the perimeter.

    The perimeter PP of a square is given by the formula P=4sP = 4s, where ss is the side length.
    Given P=24 cmP = 24 \text{ cm}:

    24 cm=4s24 \text{ cm} = 4s

    Divide by 4 to find ss:

    s=24 cm4s = \frac{24 \text{ cm}}{4} s=6 cms = 6 \text{ cm}
  2. Calculate the area of the square using the side length.

    The area AA of a square is given by the formula A=s2A = s^2.
    Using the side length s=6 cms = 6 \text{ cm}:

    A=(6 cm)2A = (6 \text{ cm})^2 A=36 cm2A = 36 \text{ cm}^2

    The area of the square is 36 cm236 \text{ cm}^2.

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