If The perimeter of a square is 48 meters what is the length of the diagonal

16.97m

Step-by-step explanation:

We know that, all the 4 sides of a square are equal.

Given that,

Perimeter of the square is 48m

First, let us find the length of a side the square.

For that, let the length of a side be x.

Therefore,

x + x + x + x = 48

4x = 48

Divide both sides by 4.

x = 12 m

Now let us find the length of the diagonal using Pythagorean theorem.

For that let the length of the diagonal be y.

So,

12² + 12² = y²

144 + 144 = y²

288 = y²

√288 = y

16.97 m = y

Therefore,

The length of the diagonal is 16.97m