what is the perimeter of rectangle jklm?

32 units
44 units
56 units
64 units

Question

what is the perimeter of rectangle jklm?

32 units
44 units
56 units
64 units

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Pythagorean Theorem", "Properties of Quadrilaterals" ], "new_concepts": [], "current_concepts": [ "Pythagorean Theorem", "Properties of Quadrilaterals" ] } ## Find the length of the diagonal $$ \begin{aligned} &d = 2 \times 10 = 20 \end{aligned} $$ ## Find the unknown side length using the Pythagorean theorem $$ \begin{aligned} &12^2 + w^2 = 20^2 \ &144 + w^2 = 400 \ &w^2 = 256 \ &w = 16 \end{aligned} $$ ## Calculate the perimeter of the rectangle $$ \begin{aligned} &P = 2(12 + 16) = 2(28) = 56 \end{aligned} $$

(A) 32 units

(B) 44 units

(C) 56 units

(D) 64 units

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

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QUESTION IMAGE

Question

Explanation:

Find the length of the diagonal

Find the unknown side length using the Pythagorean theorem

Calculate the perimeter of the rectangle

Answer: