87
QuizMultiple Choice

N/A — Exam

Question 87 • Geometry

In the diagram, KL is equal to 2 square root of 2 , LM is equal to square root of 5 , and MN is equal to square root of 2 What is the perimeter of isosceles trapezoid KLMN ?

Answer
A
4 square root of 2 plus 2 square root of 5 units
B
square root of 5 units
C
square root of 2 units
D
3 square root of 2 plus 2 square root of 5 units

Explanation

In an isosceles trapezoid, the two nonparallel sides (the legs) are equal. Since LM is a leg with length √5, NK also has length √5. Add all four sides: 2√2 + √5 + √2 + √5 = 3√2 + 2√5 units, which is choice D.

AI-written and checked against the verified answer.

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