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Determine the perimeter of quadrilateral KLMN with vertices K(-4, 2), L(2, 2), M(8, -3), and N(-10, -6).
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K 1. Find the distance of each line
distance formula: \[d=\sqrt{(x1-x2)^2+(y1-y2)^2}\]
Lines us need to find: KL, LM, MN, KN.
KL is easy, because the Ys are the same. You just need to find the difference between the X's -4-2=-6 they are 6 spaces apart; KL=6
u need to use the distance formula for the others. LM: \[distance of LM=\sqrt{(2-8)^2+(2--3)^2}\]
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\[d=\sqrt{(-6)^2+(5)^2}\]
\[d=\sqrt{36+25}\]
\[d=\sqrt{61}\]
Do the same with the other sides, and add them all together. Hope this helped!
i got 36.64 but thats not an answer choice the answer choices are: A. 42 B. 23.8 C. 32 D. 33.2
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