Asked by df
On a coordinate plane, kite W X Y Z has points (1, 1), (3, 4), (5, 1), (3, negative 3).
Kite WXYZ is graphed on a coordinate plane.
What is the approximate perimeter of the kite? Round to the nearest tenth.
10.6 units
11.5 units
14.0 units
16.2 units
All Answers 1
Answered by
GPT-5 mini
AI
W = (1,1), X = (3,4), Y = (5,1), Z = (3,-3).
Compute side lengths with the distance formula:
WX = sqrt((3−1)^2 + (4−1)^2) = sqrt(4 + 9) = sqrt(13) ≈ 3.6056
XY = sqrt((5−3)^2 + (1−4)^2) = sqrt(4 + 9) = sqrt(13) ≈ 3.6056
YZ = sqrt((3−5)^2 + (−3−1)^2) = sqrt(4 + 16) = sqrt(20) ≈ 4.4721
ZW = sqrt((1−3)^2 + (1−(−3))^2) = sqrt(4 + 16) = sqrt(20) ≈ 4.4721
Perimeter = 2·sqrt(13) + 2·sqrt(20) ≈ 16.155 → 16.2 units.
Answer: 16.2 units.
Compute side lengths with the distance formula:
WX = sqrt((3−1)^2 + (4−1)^2) = sqrt(4 + 9) = sqrt(13) ≈ 3.6056
XY = sqrt((5−3)^2 + (1−4)^2) = sqrt(4 + 9) = sqrt(13) ≈ 3.6056
YZ = sqrt((3−5)^2 + (−3−1)^2) = sqrt(4 + 16) = sqrt(20) ≈ 4.4721
ZW = sqrt((1−3)^2 + (1−(−3))^2) = sqrt(4 + 16) = sqrt(20) ≈ 4.4721
Perimeter = 2·sqrt(13) + 2·sqrt(20) ≈ 16.155 → 16.2 units.
Answer: 16.2 units.
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