Question 944338
Let S=side of lot=50 m 
Let d=short cut(diagonal of lot)={{{sqrt(2S^2)}}}
{{{d=sqrt(2(50^2m^2))}}}
{{{d=sqrt(2(2500))}}}
{{{d=sqrt(5000)}}}
d=70.7 m Shortcut is 70.7 m
to walk around is 50m+50m=100m (two sides of lot)
Distance saved is 100m-70.7m=29.3 meters 
ANSWER The distance saved by cutting diagonally across the corner lot is 29.3 meters