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9

Part of 2009 ISI B.Stat Entrance Exam

Problems(1)

Perimeter of R: ISI(bs)'09 #9

Source:

5/6/2012
Consider 66 points located at P0=(0,0),P1=(0,4),P2=(4,0),P3=(−2,−2),P4=(3,3),P5=(5,5)P_0=(0,0), P_1=(0,4), P_2=(4,0), P_3=(-2,-2), P_4=(3,3), P_5=(5,5). Let RR be the region consisting of all points in the plane whose distance from P0P_0 is smaller than that from any other PiP_i, i=1,2,3,4,5i=1,2,3,4,5. Find the perimeter of the region RR.
geometryperimetertrapezoidperpendicular bisector