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

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

$$
a = 4.8 \text{ m}, \, b = 7.2 \text{ m}, \, h = 3.0 \text{ m}
$$

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