The figure below shows trapezoid ABCD on a coordinate plane. Which of the following expressions represents the perimeter of this figure in units?
Looking at the graph, we see that a(-9,4), b(-4,-3), c(2,-4), and d(9,1).
Using the pythagorean theorm or the distance formula (either is okay), we see that:
Distance from a to b=sqrt(74)
Distance from b to c=sqrt(37)
Distance from c to d=sqrt(74)
Distance from d to a=3sqrt(37)
Therefore our final answer= 4sqrt(37)+2sqrt(74).