
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
A rhombus is given with one diagonal three times the length of the other diagonal. Express the side of the rhombus in terms of $K$, where $K$ is the area of the rhombus in square inches.
**A)** $\sqrt{\frac{5K}{3}}$  
**B)** $\sqrt{\frac{3K}{5}}$  
**C)** $\frac{1}{3}\sqrt{K}$  
**D)** $\frac{1}{2}\sqrt{3K}$  
**E)** $\frac{1}{4}\sqrt{4K}$

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