Question

Find the length of a diagonal of a square with a perimeter of 16.

Answer 1

Step-by-step explanation:

Given, the side of a square is 16cm.

We know that, diagonal of square =

2

× side

=

2

×16

=16

2

∴ The diagonal of a square is 16

2

cm.

Answer 2

Given:

The perimeter of a square is 16

To find:

The length of the diagonal of  the square

The formula to find the perimeter of the square,

= 4*side

So,

Perimeter = 4*side

→ 16 = 4*side

→ 16 ÷ 4 = side

→ 4 = side

So, each side of the square is 4

Now,

The formula to find the diagonal of the square is = (side)*√2

The diagonal of the square is = 4*√2

Hence

The diagonal of the square is 4√2

MORE INFORMATION:

The two diagonal of the square is equal in length.

All four angle is 90 degree.