If the length of one of the diagonals of a square is p units, then what
is the perimeter of the square?​

If the length of one of the diagonals of a square is p units, then what
is the perimeter of the square?​

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Aubrey

2 thoughts on “If the length of one of the diagonals of a square is p units, then what<br />is the perimeter of the square?​”

  1. UR ANSWER:-

    The length of one diagonal/side of the square

    is p unit.

    Perimeter of square = 4 ×sides

    =4×p = 4p.

    Hence, Perimeter = 4p.

    Reply
  2. Answer:

    Answer is 4p/√2.

    Step-by-step explanation:

    SOLUTION

    Given,

    AC is diagonal, AC is also p unit.

    AB = BC = CD = DA = a units.

    Find,

    the perimeter of square.

    SO,

    We have to use Pythagoras Theorem.

    => AC² = AB² + BC²

    => p² = a² + a²

    => p = √2a

    => a = p/√2

    Now,

    We have to multiply with 4 as square has four sides.

    => Perimeter = 4 × AB

    => Perimeter = 4a

    => Perimeter = 4p/√2 (Given, a = p/2)

    Hence,

    Perimeter of square is 4p/2

    Reply

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