
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
The area of trapezoid $EFGH$ is $250 \text{cm}^2$. The altitude is $10 \text{cm}$, $EF$ is $15 \text{cm}$, and $GH$ is an unknown length. Calculate $GH$, in centimeters. [asy]
/* Modified Problem Based on Instruction */
size(3inch,1.25inch);
draw((0,0)--(35,0)--(22,10)--(8,10)--cycle);
draw((15,10)--(15,0), linetype("8 4"));
draw((15,1)--(16,1)--(16,0));
label("$E$", (8,10), NW);
label("$F$", (22,10), NE);
label("$G$", (0,0), SW);
label("$H$", (35,0), SE);
label("15", (15,10), N);
label("10", (15,5), E);
[/asy]

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