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.

$a=\dfrac{54}{4}$

$a=13.5$

We know that, diagonal of a square is

$d=\sqrt{2}a$

$d=(1.414)(13.5)$

$d=19.089$

Rounding to the nearest tenth, we get

$d\approx 19.1$

Therefore, the length of diagonal is about 19.1 cm.