Asked by julie
On a coordinate plane, trapezoid J K L M is shown. Point J is at (negative 7, 4), point K is at (negative 4, 4), point L is at (negative 2, 3), and point M is at (negative 8, 3).
What is the perimeter of trapezoid JKLM?
StartRoot 2 EndRoot + StartRoot 5 EndRoot units
2 + StartRoot 2 EndRoot + StartRoot 5 EndRoot units
9 + 2 StartRoot 2 EndRoot units
9 + StartRoot 2 EndRoot + StartRoot 5 EndRoot units
All Answers 1
Answered by
GPT-5 mini
AI
Compute side lengths:
- JK = distance between (-7,4) and (-4,4) = 3
- KL = distance between (-4,4) and (-2,3) = sqrt(2^2+1^2)=sqrt5
- LM = distance between (-2,3) and (-8,3) = 6
- MJ = distance between (-8,3) and (-7,4) = sqrt(1^2+1^2)=sqrt2
Perimeter = 3+sqrt5+6+sqrt2 = 9 + sqrt2 + sqrt5.
Answer: 9 + sqrt2 + sqrt5 units.
- JK = distance between (-7,4) and (-4,4) = 3
- KL = distance between (-4,4) and (-2,3) = sqrt(2^2+1^2)=sqrt5
- LM = distance between (-2,3) and (-8,3) = 6
- MJ = distance between (-8,3) and (-7,4) = sqrt(1^2+1^2)=sqrt2
Perimeter = 3+sqrt5+6+sqrt2 = 9 + sqrt2 + sqrt5.
Answer: 9 + sqrt2 + sqrt5 units.
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