SOLUTION: A rectangular piece of land whose length is twice its width has a diagonal distance of 55 yards. How many yards, to the nearest tenth of a yard. does a person save by waking diagon

Algebra ->  Rectangles -> SOLUTION: A rectangular piece of land whose length is twice its width has a diagonal distance of 55 yards. How many yards, to the nearest tenth of a yard. does a person save by waking diagon      Log On


   

Question 1069148: A rectangular piece of land whose length is twice its width has a diagonal distance of 55 yards. How many yards, to the nearest tenth of a yard. does a person save by waking diagonally across thw land instead of walking it's length and its width?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
L length
w width
L=2w


w%5E2%2BL%5E2=55%5E2
w%5E2%2B%282w%29%5E2=55%5E2
5w%5E2=55%2A55
w%5E2=11%2A55
w%5E2=11%2A11%2A5
highlight%28w=11sqrt%285%29%29
-
highlight%28L=22%2Asqrt%285%29%29

-
Enough for you to finish answering the question