Question

The perimeter of a square is 76.4m calculate the length of its diagonal

Answer 1

The length of its diagonal is
`27.01\ m`

Explanation:

Let

b------> the length side of the square

d-----> the diagonal of the square

we know that

The perimeter of the square is

`P=4b`

`P=76.4\ m`

Find the value of b

`4b=76.4`

`b=76.4/4=19.1\ m`

Applying the Pythagoras theorem find the length of the diagonal

`d^(2)=19.1^(2)+19.1^(2)\\ \\d^(2)=729.62\\ \\ d=27.01\ m`