Answer:
16.97m
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