Find the area of square.if the perimeter of that square is 24cm

Mathematics

ScanSolve AI Answer

Answer

36 cm236 \text{ cm}^2

Step-by-step solution

4 steps
  1. Recall the formula for the perimeter of a square.

    The perimeter PP of a square with side length ss is given by P=4sP = 4s.

  2. Use the given perimeter to find the side length of the square.

    We are given that the perimeter P=24P = 24 cm.
    So, 24 cm=4s24 \text{ cm} = 4s.
    Divide both sides by 4:
    s=24 cm4s = \frac{24 \text{ cm}}{4}
    s=6 cms = 6 \text{ cm}

  3. Recall the formula for the area of a square.

    The area AA of a square with side length ss is given by A=s2A = s^2.

  4. Substitute the calculated side length into the area formula.

    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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