Question

the perimeter of a square is 56. express, the lenght of a diagonalof the square in simplest radical form.

Answer 1

if the perimeter is 56, isn't each side equal to 14 ?

then using Pythagoras,
if we call the diagonal x,
x^2 = 14^2 + 14^2 = 392
x=√392 = 14√2