designing a poster to advertise an upcoming event. the only restrictions regarding the poster size is that it must have a length of $9x$ inches and a ... inches. find a simplified expression for the area of the poster.

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Geometric Polynomial Modeling", "Multiplying Monomial by Polynomial" ], "new_concepts": [], "current_concepts": [ "Geometric Polynomial Modeling", "Multiplying Monomial by Polynomial", "Polynomial Multiplication" ] } ## Identify the given dimensions Using the *Geometric Polynomial Modeling* knowledge point $$ \begin{aligned} &\text{Length} = 9x\ &\text{Width} = x - 4 \end{aligned} $$ ## Set up the area formula Using the *Geometric Polynomial Modeling* knowledge point $$ \text{Area} = \text{Length} \times \text{Width} = 9x(x - 4) $$ ## Simplify the expression Using the *Multiplying Monomial by Polynomial* knowledge point $$ 9x(x - 4) = 9x \cdot x - 9x \cdot 4 = 9x^2 - 36x $$ You are designing a poster to advertise an upcoming event. The only restrictions regarding the poster size is that it must have a length of $9x$ inches and a width of $x - 4$ inches. Find a simplified expression for the area of the poster. $9x^2 - 36x$ square inches { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Geometric Polynomial Modeling" ] }

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Question

Explanation:

Identify the given dimensions

Set up the area formula

Simplify the expression

Answer: