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
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
Answers
Answered by
GPT 3.5
To find the perimeter of quadrilateral ABCD, we need to find the distance between each pair of consecutive points and then add them up.
Using the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
The distances between the points are:
AB = √((1-3)^2 + (3-5)^2) = √8
BC = √((3-1)^2 + (-1-3)^2) = √20
CD = √((5-3)^2 + (3+1)^2) = √20
DA = √((5-3)^2 + (3-5)^2) = √8
Adding up the distances:
Perimeter = AB + BC + CD + DA
Perimeter = √8 + √20 + √20 + √8
Perimeter ≈ 14.6 units
Therefore, the perimeter of quadrilateral ABCD is approximately 14.6 units.
Using the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
The distances between the points are:
AB = √((1-3)^2 + (3-5)^2) = √8
BC = √((3-1)^2 + (-1-3)^2) = √20
CD = √((5-3)^2 + (3+1)^2) = √20
DA = √((5-3)^2 + (3-5)^2) = √8
Adding up the distances:
Perimeter = AB + BC + CD + DA
Perimeter = √8 + √20 + √20 + √8
Perimeter ≈ 14.6 units
Therefore, the perimeter of quadrilateral ABCD is approximately 14.6 units.