Answer:
The approximate length of its diagonal is:
19.8 cm
Step-by-step explanation:
We know that for any square with a side length of s units.
The diagonal of a square has length: [tex]\sqrt{2}s\ units[/tex]
Also, the perimeter of a square is the sum of all the side lengths of a square.
i.e.
[tex]Perimeter=4s[/tex]
Here we are given:
Perimeter of square= 56 cm.
i.e.
[tex]4s=56\\\\i.e.\\\\s=\dfrac{56}{4}\\\\i.e.\\\\s=14\ cm[/tex]
Hence, the diagonal of the square has length:
[tex]Diagonal=14\sqrt{2}\ units\\\\i.e.\\\\Diagonal=14\times 1.414\\\\i.e.\\\\Diagonal=19.796\ cm[/tex]
which is approximately equal to: 19.8 cm
