SOLUTION: The perimeter of a triangular plot of land is 2400 ft. The longest side is 20 ft. less than twice the shortest. The middle side is 200 ft. less than the longest side. Find the len

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: The perimeter of a triangular plot of land is 2400 ft. The longest side is 20 ft. less than twice the shortest. The middle side is 200 ft. less than the longest side. Find the len      Log On

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Question 1100922: The perimeter of a triangular plot of land is 2400 ft. The longest side is 20 ft. less than
twice the shortest. The middle side is 200 ft. less than the longest side. Find the lengths
of the three sides of the triangular plot.
Answer by ikleyn(52834) About Me  (Show Source):
You can put this solution on YOUR website!
.
Shortest side + Middle side    + Longest side = 2400.

S             + M              + L            = 2400

S             + ((2S-20)-200)  + (2S-20)      = 2400.


S + 2S - 220 + 2S -20  = 2400

5S = 2400 + 220 + 20  = 2660  ====>  S = 2640%2F5 = 528.


Answer.  Shortest = 528.  Longest = 2*S-20 = 2*528-20 = 1036.  Middle = 1036-200 =  836.


Check.   528 + 836 + 1036 = 2400.   ! Correct !