2 Answers

Margusholland · Answer 1 · 2020-12-24T19:14:13+0000

Answer:

The approximate length of its diagonal is:

19.8 cm

We know that for any square with a side length of s units.

The diagonal of a square has length:
$√(2)s\ units$

Also, the perimeter of a square is the sum of all the side lengths of a square.

i.e.

Perimeter=4s

Here we are given:

Perimeter of square= 56 cm.

i.e.

$4s=56\\\\i.e.\\\\s=(56)/(4)\\\\i.e.\\\\s=14\ cm$

Hence, the diagonal of the square has length:

$Diagonal=14√(2)\ units\\\\i.e.\\\\Diagonal=14* 1.414\\\\i.e.\\\\Diagonal=19.796\ cm$

which is approximately equal to: 19.8 cm