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A square has an area of 50.41 cm². What is its perimeter?

Mathematics

ScanSolve AI Answer

Answer

28.4 cm28.4 \text{ cm}

Step-by-step solution

3 steps
  1. Write down the given area of the square.

    Area (AA) =50.41 cm2= 50.41 \text{ cm}^2

  2. Use the formula for the area of a square to find the side length (ss).

    The area of a square is given by A=s2A = s^2.

    s2=50.41 cm2s^2 = 50.41 \text{ cm}^2

    To find ss, take the square root of the area:

    s=50.41s = \sqrt{50.41} s=7.1 cms = 7.1 \text{ cm}
  3. Calculate the perimeter (PP) of the square.

    The perimeter of a square is given by P=4sP = 4s.

    P=4×7.1 cmP = 4 \times 7.1 \text{ cm} P=28.4 cmP = 28.4 \text{ cm}

    The perimeter of the square is 28.4 cm28.4 \text{ cm}.

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