Question

If the perimeter of an equilateral square is 100 cm , what is the length of its diagonals? ​

Answer 1

Answer:

25√2cm

Step-by-step explanation:

Let the side be x cm.
perimeter = 4x = 100cm
=> x= 25cm.
diagonal = x√2 cm
∴diagonal = 25 √2cm
Since in a square, the diagonals are equal, the length of diagonals are 25√2cm



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Answer 2

Given: Perimeter of square = 100cm

To find: length of diagonal

Step-by-step explanation:

perimeter of square = 100cm

             4 × side = 100

                    side = 100/4

                    side = 25cm

  length of diagonal = a√2

                                  = 25√2cm

Answer:  length of diagonal = 25√2cm