# The perimeter of a square is 36. What is the length of the diagonal?

Oct 12, 2015

12,728 units

#### Explanation:

Since a square has all 4 sides equal, it implies that each side must be 9 units in order for the perimeter to be 36.

Hence the length of a diagonal will be the hypotenuse in a right angled triangle of base and height 9 units.

We may then use Pythagoras to find this diagonal as follows :

$\sqrt{{9}^{2} + {9}^{2}} = \sqrt{162} = 12 , 728$ units