select the correct answer.

the perimeter of a rectangle is 42 inches. if the width of the rectangle is 6 inches, what is the length?

12 inches
15 inches
21 inches
40 inches

Question

select the correct answer.

the perimeter of a rectangle is 42 inches. if the width of the rectangle is 6 inches, what is the length?

12 inches
15 inches
21 inches
40 inches

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Solving Linear Equations" ], "new_concepts": [ "Perimeter of a Rectangle" ], "current_concepts": [ "Perimeter of a Rectangle", "Solving Linear Equations" ] } ## Set up the perimeter equation $$ \begin{aligned} &P = 2(l + w) \ &P = 42 \ &w = 6 \end{aligned} $$ ## Substitute and solve for length $$ \begin{aligned} &42 = 2(l + 6) \ &21 = l + 6 \ &l = 15 \end{aligned} $$

12 inches

15 inches

21 inches

40 inches

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Perimeter of a Rectangle" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Set up the perimeter equation

Substitute and solve for length

Answer: