8. a rectangle is 8 feet long and 4 feet wide. if we remove a 2 square out of one corner of the rectangle, how many square inches would remain in the rectangle?

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Unit Conversion" ], "new_concepts": [ "Area of Composite Figures" ], "current_concepts": [ "Unit Conversion", "Area of Composite Figures" ] } ## Calculate the remaining area in square feet $$ \begin{aligned} A_{\text{rectangle}} &= 8\text{ ft} \times 4\text{ ft} = 32\text{ sq ft} \ A_{\text{square}} &= 2\text{ ft} \times 2\text{ ft} = 4\text{ sq ft} \ A_{\text{remaining, sq ft}} &= 32\text{ sq ft} - 4\text{ sq ft} = 28\text{ sq ft} \end{aligned} $$ ## Convert the remaining area to square inches $$ \begin{aligned} 1\text{ sq ft} &= 12\text{ in} \times 12\text{ in} = 144\text{ sq in} \ A_{\text{remaining, sq in}} &= 28 \times 144 = 4032\text{ sq in} \end{aligned} $$ $4032\text{ square inches}$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Geometry", "Area of Composite Figures" ] }

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Calculate the remaining area in square feet

Convert the remaining area to square inches

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