...or the following rectangles (round your answers to two decimal places):

2. $45\text{ ft} \times 32\text{ ft}$

4. $70\text{ ft } 4\text{ } 5/8\text{ in} \times 30\text{ ft } 9\text{ in}$

Question

...or the following rectangles (round your answers to two decimal places):

2. $45\text{ ft} \times 32\text{ ft}$

4. $70\text{ ft } 4\text{ } 5/8\text{ in} \times 30\text{ ft } 9\text{ in}$

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Decimal Multiplication", "Rounding Decimals" ], "new_concepts": [ "Unit Conversion", "Area of Rectangles" ], "current_concepts": [ "Unit Conversion", "Area of Rectangles", "Decimal Multiplication", "Rounding Decimals" ] } ## Convert dimensions of Question 4 to decimal feet $$ \begin{aligned} &L = 70\text{ ft } 4\frac{5}{8}\text{ in} = 70 + \frac{4.625}{12}\text{ ft} \approx 70.385417\text{ ft} \ &W = 30\text{ ft } 9\text{ in} = 30 + \frac{9}{12}\text{ ft} = 30.75\text{ ft} \end{aligned} $$ ## Calculate areas for both questions $$ \begin{aligned} &\text{Area}_2 = 45\text{ ft} \times 32\text{ ft} = 1440\text{ sq ft} \ &\text{Area}_4 = 70.385417\text{ ft} \times 30.75\text{ ft} \approx 2164.35156\text{ sq ft} \end{aligned} $$ ## Round answers to two decimal places $$ \begin{aligned} &\text{Area}_2 = 1440.00\text{ sq ft} \ &\text{Area}_4 \approx 2164.35\text{ sq ft} \end{aligned} $$ ## Question 2 $1440.00\text{ sq ft}$ ## Question 4 $2164.35\text{ sq ft}$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Geometry", "Area of Rectangles" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Convert dimensions of Question 4 to decimal feet

Calculate areas for both questions

Round answers to two decimal places

Answer:

Question 2

Question 4