select the correct answer.

a square field has an area of 10 square miles. what is the approximate length, to the nearest thousandth, of one side of this field?

2.5 miles
3 miles
3.162 miles
3.612 miles

Question

select the correct answer.

a square field has an area of 10 square miles. what is the approximate length, to the nearest thousandth, of one side of this field?

2.5 miles
3 miles
3.162 miles
3.612 miles

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Square Root Approximation", "Decimal Rounding" ], "new_concepts": [], "current_concepts": [ "Square Root Approximation", "Decimal Rounding", "Geometric Formulas" ] } ## Set up the area equation for a square $$ \begin{aligned} A &= s^2 \ 10 &= s^2 \end{aligned} $$ ## Solve for the side length $$ \begin{aligned} s &= \sqrt{10} \ s &\approx 3.16227766... \end{aligned} $$ ## Round to the nearest thousandth $$ s \approx 3.162\text{ miles} $$

(A) 2.5 miles

(B) 3 miles

(C) 3.162 miles

(D) 3.612 miles

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Square Root Approximation" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Set up the area equation for a square

Solve for the side length

Round to the nearest thousandth

Answer: