Question

The perimeter of a square is 54cm. find the length of a diagonal, rounding to the nearest tenth. ​

Answer 1

Given:

The perimeter of a square is 54cm.

To find:

The length of a diagonal, rounding to the nearest tenth. ​

Solution:

Let a be the length of each side of square.

We know that, perimeter of a square is

`Perimeter = 4a`

`4a=54`

Divide both sides by 4.

`a=(54)/(4)`

`a=13.5`

We know that, diagonal of a square is

`d=√(2)a`

`d=(1.414)(13.5)`

`d=19.089`

Rounding to the nearest tenth, we get

`d\approx 19.1`

Therefore, the length of diagonal is about 19.1 cm.