
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
Calculate the force with which water presses on a dam, whose cross-section has the shape of an isosceles trapezoid. The density of water is $\rho=1000 \, \text{kg} / \text{m}^{3}$, and the acceleration due to gravity $g$ is $10 \, \text{m} / \text{s}^{2}$.

Hint: The pressure at depth $x$ is $\rho g x$.

Given:
\[ a = 6.6 \, \text{m}, \quad b = 10.8 \, \text{m}, \quad h = 4.0 \, \text{m} \]

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