KLMN with vertices K (-3,-3), L (-1,-3), M (1,4), and N (-3,1). Find the perimeter of KLMN

11 + sqrt(53)

Step-by-step explanation:

Lengths

KL = -1 - (-3) = 2

LM = sqrt[(4--3)² + (1--1)²]

= sqrt(53)

MN = sqrt[(1-4)² + (-3-1)²]

= 5

NK = 1 - (-3) = 4

Perimeter = 2 + sqrt(53) + 5 + 4

11 + sqrt(53)

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

hope this !