question 24 of 40
in the rectangle below, $ac = 36$ units. what is $de$?
a. 36
b. 24
c. 12
d. 18

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Rectangle Diagonal Theorem", "Parallelogram Properties" ], "new_concepts": [], "current_concepts": [ "Rectangle Diagonal Theorem", "Parallelogram Properties" ] } ## Relate the diagonals of the rectangle $$ BD = AC = 36 $$ ## Apply the diagonal bisection property $$ DE = \frac{1}{2} BD = \frac{1}{2} (36) = 18 $$

(A) 36

(B) 24

(C) 12

(D) 18

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Rectangle Diagonal Theorem" ] }

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Question

Explanation:

Relate the diagonals of the rectangle

Apply the diagonal bisection property

Answer: