Answer:
30.594
Step-by-step explanation:
To find perimeter we need to find the length of all the sides
The coordinates are A(-3,4), B(7,2), C(6,-3), D (-4,-1)
To find the length of side , we use distance formula
[tex]Distance = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
Side [tex] AB =\sqrt{(7--3)^2+(2-4)^2} = \sqrt{100+4}= \sqrt{104}=10.198[/tex]
Side [tex] BC =\sqrt{(6-7)^2+(-3-2)^2} = \sqrt{1+25}= \sqrt{26}=5.099[/tex]
Side [tex] CD =\sqrt{(-4-6)^2+(-1--3)^2} = \sqrt{100+4}= \sqrt{104}=10.198[/tex]
Side [tex] DA =\sqrt{(-3--4)^2+(4--1)^2} = \sqrt{1+25}= \sqrt{26}=5.099[/tex]
To find perimeter we add all the sides
10.198 + 5.099 + 10.198 + 5.099= 30.594
the perimeter of the rectangle= 30.594
