Question

Determine the perimeter of quadrilateral KLMN with vertices K(-4, 2), L(2, 2), M(8, -3), and N(-10, -6).

Answer 1

K
1. Find the distance of each line

Answer 2

distance formula:
\[d=\sqrt{(x1-x2)^2+(y1-y2)^2}\]

Answer 3

Lines us need to find: KL, LM, MN, KN.

Answer 4

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

Answer 5

u need to use the distance formula for the others.
LM:
\[distance of LM=\sqrt{(2-8)^2+(2--3)^2}\]

Answer 6

\[d=\sqrt{(-6)^2+(5)^2}\]

Answer 7

\[d=\sqrt{36+25}\]

Answer 8

\[d=\sqrt{61}\]

Answer 9

Do the same with the other sides, and add them all together.
Hope this helped!

Answer 10

i got 36.64 but thats not an answer choice
the answer choices are:
A. 42
B. 23.8
C. 32
D. 33.2