
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 line joining $(2,3)$ and $(5,1)$ divides the square shown into two parts. What fraction of the area of the square is above this line? The square has vertices at $(2,1)$, $(5,1)$, $(5,4)$, and $(2,4)$.

[asy]
draw((-1,0)--(6,0),linewidth(1),Arrows);
draw((0,-1)--(0,5),linewidth(1),Arrows);

draw((2,.25)--(2,-.25),linewidth(1));
draw((3,.25)--(3,-.25),linewidth(1));
draw((4,.25)--(4,-.25),linewidth(1));
draw((5,.25)--(5,-.25),linewidth(1));

draw((.25,1)--(-.25,1),linewidth(1));
draw((.25,2)--(-.25,2),linewidth(1));
draw((.25,3)--(-.25,3),linewidth(1));
draw((.25,4)--(-.25,4),linewidth(1));

draw((2,1)--(5,1)--(5,4)--(2,4)--cycle,linewidth(2));

label("$y$",(0,5),N);
label("$x$",(6,0),E);
label("$(2,1)$",(2,1),S);
label("$(5,4)$",(5,4),N);
[/asy]

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