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.
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
1 answer