Re: What is the perimeter of the 5-sided figure RSTVW shown above?
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22 Aug 2020, 08:50
As per the information given in the questions stem,
We know, X+2X+3X=180 (i.e. Sum of angles in a △ is 180)
So, 6X=180
=> X=30. We now know that △RWV is a 30-60-90 triangle. We can also find the respective side, as RV=2
So, RW=1/2(RV)= 1 and WV= √3(RW)= √3
Therefore, to find the perimeter, we now need the values for sides TV, RS, and ST
Statement I: The perimeter of ΔRST is 3+3√3
The data is clearly insufficient, as we have no way to determine the value of sides TV, RS, and ST. Eliminate A,D
Statement II: RW = RS = ST = TV
We, already know that RW=1, and we wanted to find the value of sides TV, RS, and ST
This statement gives us all the information required to find the unique value of the perimeter.
Hence, sufficient.
Correct Answer Option B