The perimeter of the square is P = 19.
Determine the length of the square.
[tex]\begin{gathered} P=4a \\ 19=4a \\ a=\frac{19}{4} \\ =4.75 \end{gathered}[/tex]
Determine the length of diagonal by using the pythagors theorem.
[tex]\begin{gathered} d^2=(4.75)^2+(4.75)^2 \\ d=\sqrt[]{22.5625+22.5625} \\ =\sqrt[]{45.125} \\ \approx6.72 \end{gathered}[/tex]
So length of diagonal is 6.72.
