Question

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

Answer 42 units
23.8 units
32 units
33.2 units

Answer 1

distance formula for KL, LM, KN, and NK

Answer 2

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

Answer 3

For perimeter, you need to know the lengths of the sides.
KL=sqrt[(2+4)^2 + (2-2)^2]
KL=6
LM=sqrt[(8-2)^2+(-3-2)^2]
LM=sqrt(36+25)
LM=sqrt61

Answer 4

MN=sqrt[(-10-8)^2+(-6+3)^2]
MN=sqrt(324+9)
MN=3sqrt37

Answer 5

KN=sqrt[(-10+4)^2+(-6-2)^2]
KN=sqrt(36+64)
KN=10
P = KL+LM+MN+KN=6+sqrt61+3sqrt37+10
P=16+3sqrt37+10