Respuesta :

4. 19.8
56/4=14
Diagonal of a square is equal to one side multiplied by the square root of two.
Therefore, it is 19.8, being that square root is (in super simple rounding) 1.5.

Answer:

17.8 cm is the approximate length of its diagonal.

Step-by-step explanation:

Side of the square = l

Perimeter of the square = P = 56 cm

Perimeter of the square is the sum of all the sides of the square.

4a = 56 cm

[tex]4a=56 cm[/tex]

[tex]a=\frac{56}{4}=14 cm[/tex]

The length of the diagonal is given by: d

[tex]d^2=a^2+a^2[/tex] (Pythagoras theorem)

[tex]d=\sqrt{a^2+a^2}=\sqrt{2a^2}[/tex]

[tex]d=17.79 cm\approx 17.8 cm[/tex]

17.8 cm is the approximate length of its diagonal.

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