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V125BC [204]
3 years ago
8

The coordinates of the verticals of a rectangle are (-3,4), (7,2), (6,-3), & (-4,-1). What is the perimeter of the rectangle

?
Mathematics
1 answer:
natali 33 [55]3 years ago
4 0

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

Distance = \sqrt{(x2-x1)^2+(y2-y1)^2}

Side AB =\sqrt{(7--3)^2+(2-4)^2} = \sqrt{100+4}= \sqrt{104}=10.198

Side BC =\sqrt{(6-7)^2+(-3-2)^2} = \sqrt{1+25}= \sqrt{26}=5.099

Side CD =\sqrt{(-4-6)^2+(-1--3)^2} = \sqrt{100+4}= \sqrt{104}=10.198

Side DA =\sqrt{(-3--4)^2+(4--1)^2} = \sqrt{1+25}= \sqrt{26}=5.099

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

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