Answer :
Answer:
The answer to your question is Perimeter = 11 + [tex]\sqrt{73}[/tex]
Step-by-step explanation:
Data
P (-5, 4)
Q (3, 1)
R (-5, 1)
Process
Calculate the distance between the points and sum up the results
a)
dPQ = [tex]\sqrt{(-5 - 3)^{2} + (4 - 1)^{2}}[/tex]
dPQ = [tex]\sqrt{(-8)^{2} + 3^{2}}[/tex]
dPQ = [tex]\sqrt{64 + 9}[/tex]
dPQ = [tex]\sqrt{73}[/tex]
dQR = [tex]\sqrt{(-5 - 3)^{2} + (1 - 1)^{2}}[/tex]
dQR = [tex]\sqrt{8^{2}}[/tex]
dQR = 8
dPR = [tex]\sqrt{(-5 + 5)^{2}+ (1 - 4)^{2}}[/tex]
dPR = [tex]\sqrt{3^{2}}[/tex]
dPR = 3
b)
Perimeter = [tex]\sqrt{73}[/tex] + 8 + 3
Perimeter = 11 + [tex]\sqrt{73}[/tex]