A Random point!

Geometry Level 3

A convex quadrilateral A B C D ABCD with area 2002 contains a point P P in its interior such that P A = 24 , P B = 32 , P C = 28 , P D = 45 PA=24 , PB=32,PC=28,PD=45 then the perimeter of A B C D ABCD is:

4 ( 36 + 113 ) 4(36\space+\space \sqrt{113}) 4 2002 4\sqrt{2002} 4 ( 36 + 13 ) 4(36\space+\space \sqrt{13}) 2 8465 2\sqrt{8465}

Toshit Jain by Toshit Jain , 19, India

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