The diagonal of a square is `4 sqrt2 cm`. The diagonal of another square whose area is double that of the first square is :

Explanation

To solve the problem, we need to find the diagonal of a square whose area is double that of another square with a given diagonal of \(4\sqrt{2}\) cm.

### Step 1: Find the area of the first square
The diagonal \(d\) of a square is related to its side length \(s\) by the formula:
\[ d = s\sqrt{2} \]
Given that the diagonal of the first square is \(4\sqrt{2}\) cm, we can set up the equation:
...