Question

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

Answer 1

14.6 units

Explanation:

AB =
`√((1-3)^2+(3-5)^2)`

AB =
`√(8)`

BC =
`√((3-1)^2+(-1-3)^2)=√(20)`

CD =
`√((5-3)^2+(3-(-1))) = √(20)`

DA =
`√((5-3)^2+(3-5)^2) = √(8)`

Primeter =
`√(8) + √(20) + √(20) +√(8) = 14.6`