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Find the perimeter of quadrilateral ABCD. Round to the nearest tenth.

Kite A B C D on a coordinate plane with coordinates A 3 comma 5, B 1 comma 3, C 3 comma negative 1, and D 5 comma 3.
11.3 units
14.6 units
17.4 units
56.0 units

Sagot :

Answer:

14.6 units

Step-by-step explanation:

AB = [tex]\sqrt{(1-3)^2+(3-5)^2}[/tex]

AB =[tex]\sqrt{8}[/tex]

BC = [tex]\sqrt{(3-1)^2+(-1-3)^2}=\sqrt{20}[/tex]

CD = [tex]\sqrt{(5-3)^2+(3-(-1))} = \sqrt{20}[/tex]

DA = [tex]\sqrt{(5-3)^2+(3-5)^2} = \sqrt{8}[/tex]

Primeter = [tex]\sqrt{8} + \sqrt{20} + \sqrt{20} +\sqrt{8} = 14.6[/tex]

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