Answer:
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Step-by-step explanation:
See the graph below
Process
1.- Find the distance from A to B, B to C, C to D, A to D
Formula
d = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}[/tex]
d AB = [tex]\sqrt{(1 + 3)^{2} + (6 - 5)^{2}} = \sqrt{17}[/tex]
dBC = [tex]\sqrt{(-2 -6)^{2} + (3 - 1)^{2}} = \sqrt{68}[/tex]
dCD = [tex]\sqrt{(-1 - 3)^{2} + (-3 +2)^{2}} = \sqrt{17}[/tex]
dAD = [tex]\sqrt{(-1 + 3)^{2} + (-3 - 5)^{2}} = \sqrt{68}[/tex]
2.- Find the perimeter
Perimeter = 2[tex]\sqrt{17} + 2\sqrt{68}[/tex] = [tex]6\sqrt{17}[/tex] u
3.- Find the area
Area = [tex]\sqrt{17} x \sqrt{68}[/tex]
Area = [tex]\sqrt{17x68} = \sqrt{1156} = 34 u^{2}[/tex]
