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The figure below shows trapezoid ABCD on a coordinate plane. Which of the following expressions represents the perimeter of this figure in units?

 

 Sep 4, 2020
 #1
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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).

 Sep 5, 2020

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