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Assuming that the vertices given are consecutive:
1.  Compute the distance between two consecutive vertices to the measurement of the four sides of the quadrilateral. (solution in long hand, attached)

2.  Compute for the perimeter:
    P = Side1 + Side2 + Side 3 + Side4
    P = 5 +  \sqrt{34}  + 15 + 5 \sqrt{10}
    P = 20 + 5 \sqrt{10} +  \sqrt{34}   units