warm-up

amy works for a marketing agency and is designing a label for a companys newest product. the label needs to be a rectangle where the length is 4 times the width.

if $x$ represents the width, which expression represents the area of the label?

- $4x$
- $4x^2$
- $10x$
- $16x^2$

Question

warm-up

amy works for a marketing agency and is designing a label for a companys newest product. the label needs to be a rectangle where the length is 4 times the width.

if $x$ represents the width, which expression represents the area of the label?

- $4x$
- $4x^2$
- $10x$
- $16x^2$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Geometric Modeling", "Area of Rectangle" ], "current_concepts": [ "Geometric Modeling", "Area of Rectangle" ] } ## Define the dimensions of the rectangle $$ \begin{aligned} \text{Width} &= x \ \text{Length} &= 4x \end{aligned} $$ ## Calculate the area of the rectangle $$ \begin{aligned} \text{Area} &= \text{Length} \times \text{Width} \ \text{Area} &= (4x) \cdot x \ \text{Area} &= 4x^2 \end{aligned} $$

(A) $4x$

(B) $4x^2$

(C) $10x$

(D) $16x^2$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Geometric Modeling" ] }

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QUESTION IMAGE

Question

Explanation:

Define the dimensions of the rectangle

Calculate the area of the rectangle

Answer: