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 grid Using the **Area Model** knowledge point $$ \begin{aligned} &\text{Height of the grid (rows)} = 7\ &\text{Width of the light green section (columns)} = 6\ &\text{Width of the dark green section (columns)} = 5 \end{aligned} $$ ## Determine the area of each section Using the **Area Model** knowledge point $$ \begin{aligned} &\text{Area of light green section} = 7 \times 6\ &\text{Area of dark green section} = 7 \times 5 \end{aligned} $$ ## Express the total area Using the **Distributive Property** and **Equivalent Expressions** knowledge points $$ \begin{aligned} &\text{Total Area} = (7 \times 6) + (7 \times 5)\ &\text{Total Area} = 7(6 + 5) \end{aligned} $$

$5(6 + 6)$

$5(6 + 5)$

$7(6 + 5)$

{ "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 grid

Determine the area of each section

Express the total area

Answer: