which expression is shown using the model below?

$5(6+6)$
$5(6+5)$

Question

which expression is shown using the model below?

$5(6+6)$
$5(6+5)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Area Model", "Distributive Property" ], "new_concepts": [], "current_concepts": [ "Area Model", "Distributive Property", "Equivalent Expressions" ] } ## Analyze the dimensions of the light green region Using the **Area Model** knowledge point $$ \begin{aligned} &\text{Height} = 6\text{ units}\ &\text{Width} = 6\text{ units}\ &\text{Area} = 6 \times 6 = 36 \end{aligned} $$ ## Analyze the dimensions of the dark green region Using the **Area Model** knowledge point $$ \begin{aligned} &\text{Height} = 6\text{ units}\ &\text{Width} = 5\text{ units}\ &\text{Area} = 6 \times 5 = 30 \end{aligned} $$ ## Combine the regions using the distributive property Using the **Distributive Property** knowledge point $$ \begin{aligned} &\text{Total Area} = 6 \times 6 + 6 \times 5\ &\text{Total Area} = 6(6 + 5) \end{aligned} $$ ## Match with the given options Using the **Equivalent Expressions** knowledge point $$ \begin{aligned} &6(6 + 5) \equiv 6(6 + 5) \end{aligned} $$

(A) $5(6+6)$

(B) $6(6+5)$

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

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QUESTION IMAGE

Question

Explanation:

Analyze the dimensions of the light green region

Analyze the dimensions of the dark green region

Combine the regions using the distributive property

Match with the given options

Answer: