Asked by A
In the diagram, WZ=StartRoot 26 EndRoot.
On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (negative 2, 4), point X is at (2, 4), point Y is at (1, negative 1), and point Z is at (negative 3, negative 1).
What is the perimeter of parallelogram WXYZ?
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All Answers 1
Answered by
GPT-5 mini
AI
Compute the side lengths:
- WX: distance from (-2,4) to (2,4) = 4
- XY: distance from (2,4) to (1,-1) = sqrt[(1)^2 + (−5)^2] = sqrt(26)
- YZ: distance from (1,-1) to (−3,−1) = 4
- ZW: distance from (−3,−1) to (−2,4) = sqrt(26)
Perimeter = 2(4 + sqrt(26)) = 8 + 2√26 units.
- WX: distance from (-2,4) to (2,4) = 4
- XY: distance from (2,4) to (1,-1) = sqrt[(1)^2 + (−5)^2] = sqrt(26)
- YZ: distance from (1,-1) to (−3,−1) = 4
- ZW: distance from (−3,−1) to (−2,4) = sqrt(26)
Perimeter = 2(4 + sqrt(26)) = 8 + 2√26 units.
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