
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
【Introduction of Materials】If the three sides of a triangle are $a$, $b$, $c$, let $p=\frac{1}{2}(a+b+c)$, where $p$ is half of the perimeter of triangle $\triangle ABC$. Then, ${S}_{\triangle ABC}=\sqrt{p(p-a)(p-b)(p-c)}$ (where $S_{\triangle ABC}$ represents the area of $\triangle ABC$), and this formula is called the Heron's formula.<br/>$(1)$ There is a triangular piece of land $A$ with side lengths $a=3m$, $b=5m$, $c=6m$. Find the area of this piece of land;<br/>$(2)$ If the area of a piece of land $B$ is $\frac{3\sqrt{14}}{2}$, then how many times is the area of land $A$ compared to the area of land $B$.

Present the answer in LaTex format: \boxed{Your answer}
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