Answer:
[tex]\sqrt{418}[/tex]
Step-by-step explanation:
The length of a diagonal of a square is [tex]\sqrt{2}a[/tex], where a is the length of one side.
If the area of a square garden is 209m, we know that the side length must be [tex]\sqrt{209}[/tex]m, since the area of a square is it’s side length squared.
Now we can substitute inside the formula.
[tex]\sqrt{2}\cdot\sqrt{209}[/tex]
When multiplying roots, the multiplication problem can simplify down to whatever is in the roots multilpied by each other.
So, [tex]209\cdot 2 = 418[/tex]
So the length of the diagonal is [tex]\sqrt{418}[/tex] m.
Hope this helped!
