Question

related questions: lesson 2: expressions

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q. find the value of the perimeter when \\(m = 18\\).

Explanation:

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<reasoning>

Write the perimeter expression

Using the Algebraic Expressions knowledge point
\[

$$\begin{aligned} P &= m + m + (m + 1) + (m + 1) \\ P &= 4m + 2 \end{aligned}$$

\]

Substitute the given value

Using the Algebraic Expressions knowledge point
\[

$$\begin{aligned} m &= 18 \\ P &= 4(18) + 2 \end{aligned}$$

\]

Calculate the final value

Using the Algebraic Expressions knowledge point
\[

$$\begin{aligned} P &= 72 + 2 \\ P &= 74 \end{aligned}$$

\]
</reasoning>

<answer>
Find the value of the perimeter when \(m = 18\). <blank>74</blank>
</answer>

<post_analysis>
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"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Algebraic Expressions"
]
}
</post_analysis>

Answer:

<pre_analysis>
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"step_cot",
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"explain_then_answer",
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]
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</pre_analysis>

<reasoning>

Write the perimeter expression

Using the Algebraic Expressions knowledge point
\[

$$\begin{aligned} P &= m + m + (m + 1) + (m + 1) \\ P &= 4m + 2 \end{aligned}$$

\]

Substitute the given value

Using the Algebraic Expressions knowledge point
\[

$$\begin{aligned} m &= 18 \\ P &= 4(18) + 2 \end{aligned}$$

\]

Calculate the final value

Using the Algebraic Expressions knowledge point
\[

$$\begin{aligned} P &= 72 + 2 \\ P &= 74 \end{aligned}$$

\]
</reasoning>

<answer>
Find the value of the perimeter when \(m = 18\). <blank>74</blank>
</answer>

<post_analysis>
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"knowledge_point": [
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"Algebraic Expressions"
]
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