SOLUTION: A square corner lot is 50 m long. Calculate, to the nearest tenth of a metre, the distance saved in taking a short cut across the lot.

Algebra ->  Pythagorean-theorem -> SOLUTION: A square corner lot is 50 m long. Calculate, to the nearest tenth of a metre, the distance saved in taking a short cut across the lot.      Log On


   

Question 944338: A square corner lot is 50 m long. Calculate, to the nearest tenth of a metre, the distance saved in taking a short cut across the lot.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
Let S=side of lot=50 m
Let d=short cut(diagonal of lot)=sqrt%282S%5E2%29
d=sqrt%282%2850%5E2m%5E2%29%29
d=sqrt%282%282500%29%29
d=sqrt%285000%29
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