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{ "quality": "blurry", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Greatest Common Factor", "Distributive Property", "Area Model" ], "new_concepts": [], "current_concepts": [ "Greatest Common Factor", "Distributive Property", "Area Model", "Equivalent Expressions" ] } ## Analyze the area model Using the *Area Model* knowledge point $$ \begin{aligned} &\text{Beans Area} = 12\text{ acres}\ &\text{Squash Area} = 21\text{ acres}\ &\text{Total Area} = 12 + 21 = 33\text{ acres} \end{aligned} $$ ## Find the greatest common factor Using the *Greatest Common Factor* knowledge point $$ \begin{aligned} &12 = 3 \times 4\ &21 = 3 \times 7\ &\text{GCF}(12, 21) = 3 \end{aligned} $$ ## Apply the distributive property Using the *Distributive Property* knowledge point $$ \begin{aligned} &12 + 21 = 3 \times 4 + 3 \times 7\ &12 + 21 = 3(4 + 7) \end{aligned} $$ ## Match with the options Using the *Equivalent Expressions* knowledge point $$ \begin{aligned} &\text{Option A: } 3(4 + 7)\text{ acres}\ &\text{Option B: } 7(3 + 4)\text{ acres}\ &\text{Option C: } 4(3 + 7)\text{ acres}\ &\text{Option D: } 3(3 + 7)\text{ acres} \end{aligned} $$

(A) $3(4 + 7)$ acres

(B) $7(3 + 4)$ acres

(C) $4(3 + 7)$ acres

(D) $3(3 + 7)$ acres

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Distributive Property" ] }

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QUESTION IMAGE

Question

Explanation:

Analyze the area model

Find the greatest common factor

Apply the distributive property

Match with the options

Answer: