Answer:
Diagonal length =[tex]5\sqrt{10}[/tex]
Step-by-step explanation:
Length of the diagonal of a square = [tex]\sqrt{2} *a[/tex]
where, ' [tex]a[/tex]' is the side of the square
Side length of the square ([tex]a[/tex])= [tex]5\sqrt{5}[/tex]
Length of the diagonal=
=[tex]\sqrt{2} *5\sqrt{5} \\\\5\sqrt{10}[/tex]
The square with give side length of [tex]5\sqrt{5}[/tex], have a diagonal length of [tex]5\sqrt{10}[/tex]