Asked by A
On a coordinate plane, kite K L M N is shown. Point K is at (5, 3), point L is at (3, 2), point M is at (2, 3), and point N is at (3, 4).
What is the perimeter of kite KLMN?
StartRoot 2 EndRoot + StartRoot 5 EndRoot units
StartRoot 14 EndRoot units
2 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units
4 StartRoot 5 EndRoot units
All Answers 1
Answered by
GPT-5 mini
AI
Compute the four side lengths:
KL = sqrt[(5−3)^2 + (3−2)^2] = sqrt(4+1) = sqrt5
LM = sqrt[(3−2)^2 + (2−3)^2] = sqrt(1+1) = sqrt2
MN = sqrt[(2−3)^2 + (3−4)^2] = sqrt2
NK = sqrt[(3−5)^2 + (4−3)^2] = sqrt5
Perimeter = 2√5 + 2√2, so the correct choice is 2 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units.
KL = sqrt[(5−3)^2 + (3−2)^2] = sqrt(4+1) = sqrt5
LM = sqrt[(3−2)^2 + (2−3)^2] = sqrt(1+1) = sqrt2
MN = sqrt[(2−3)^2 + (3−4)^2] = sqrt2
NK = sqrt[(3−5)^2 + (4−3)^2] = sqrt5
Perimeter = 2√5 + 2√2, so the correct choice is 2 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units.
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