Answer:
The length of the diagonal is 22.6 ft.
Step-by-step explanation:
To find the length of the diagonal of a square, multiply the length of one side by the square root of 2:
If the length of one side is x, [tex]length = x\sqrt{2}[/tex] as you can see in the image attached.
This fact is a consequence of applying the Pythagoras' Theorem to find the length of the diagonal if we know the side length of the square.
[tex]length^{2} = x^{2}+x^{2} \\ length=\sqrt{x^{2}+x^{2}} \\ length=\sqrt{2x^{2} } \\ length=x\sqrt{2}[/tex]
We know that the length of one side is 16 ft so [tex]length = 16\sqrt{2}=22.627[/tex] and round to the nearest tenth is 22.6 ft
