SOLUTION: A rectangular piece of land whose length is twice its width has a diagonal distance of 5555 yards. How many​ yards, to the nearest tenth of a​ yard, does a person sav

Algebra ->  Rectangles -> SOLUTION: A rectangular piece of land whose length is twice its width has a diagonal distance of 5555 yards. How many​ yards, to the nearest tenth of a​ yard, does a person sav      Log On


   



Question 1051612:
A rectangular piece of land whose length is twice its width has a diagonal distance of 5555 yards. How many​ yards, to the nearest tenth of a​ yard, does a person save by walking diagonally across the land instead of walking its length and its​ width?

Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let w be the width of the triangle. Then the length would be 2w. So:
w²+(2w)²=5555²
5w²=(5555)²
w²=6171605
w=2484.27,-2484.27
l=4968.54
w+l=7452..81
7452.81-5555=1897.81 yards saved by walking diagonally. ☺☺☺☺