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505-555 (Easy)|   Geometry|               
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mailash
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Bunuel
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Bunuel
The figure above shows the number of meters in the lengths of the four sides of a jogging path. What is the total distance around the path?

(1) One of the sides of the path is 120 meters long --> 120 can be the length of any side. not sufficient.

(2) One of the sides of the path is twice as long as each of the two shortest sides --> shortest side is x, 3x is 3 times the shortest side, hence the side which is twicw as long is x+60 --> x+60=2x --> x=60. Sufficient.

Answer: B.

Hope it helps.

P.S. to answer your question on #149, please post it in different topic.
Hello Bunuel
Thanks for the explanation.
Can we consider \(3x=2(x)\) for statement 2?
Thanks__
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47 secs. B is the answer.

St. 1 -- Not sufficient. Any side can be 120 and if that is the case, the value of x will be different in each case. Accordingly, the perimeter will be different too.

St. 2 -- Sufficient. Shortest side is clearly x. The side can possibly be twice of x is x+60 since side with the measurement 3x is well thrice of x. Solving for x will give us x = 60 and the perimeter can be found.
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