Answer:
The answer to your question is Perimeter = 24.1 u
Step-by-step explanation:
Data
F (-4, 5)
G (1, 10)
H (-9, 10)
Process
1.- Calculate the distance from FG
dFG = [tex]\sqrt{(1 + 4)^{2} + (10 - 5)^{2}}[/tex]
dFG = [tex]\sqrt{5^{2} + 5^{2}}[/tex]
dFG = [tex]\sqrt{25 + 25}[/tex]
dFG = [tex]\sqrt{50}[/tex]
dFG = [tex]5\sqrt{2}[/tex] = 7.07
2.- Calculate the distance from GH
dGH = [tex]\sqrt{(-9 - 1)^{2} + (10 - 10)^{2}}[/tex]
dGH = [tex]\sqrt{10^{2} + 0^{2}}[/tex]
dGH = [tex]\sqrt{100}[/tex]
dGH = 10
3.- Calculate the distance from FH
dFH = [tex]\sqrt{(-9 + 4)^{2} + ( 10 - 5)^{2}}[/tex]
dFH = [tex]\sqrt{-5^{2}+ 5^{2}}[/tex]
dFH = [tex]\sqrt{25 + 25}[/tex]
dFH = [tex]\sqrt{50}[/tex]
dFH = [tex]5\sqrt{2}[/tex] = 7.07
4.- Calculate the perimeter
Perimeter = 7.07 + 10 + 7.07
= 24.1 units
