
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
$ABCD$ is a rectangle divided into a grid where each column of squares has twice the area of the column immediately to its left, and the total area of $ABCD$ is 48 square units. Points $E$ and $F$ are located on $AD$ and $BC$ respectively such that $AE = 2$ units and $BF = 4$ units. Compute the area of trapezoid $EFBA$.

[asy]
size(4cm,4cm);
for(int i=0; i < 4; ++i){
    for(int k=0; k < 5; ++k){
        draw((0,i)--(4,i));
        draw((k,0)--(k,3));
    } 
}
label("$A$",(0,0),SW);
label("$B$",(4,0),SE);
label("$C$",(4,3),NE);
label("$D$",(0,3),NW);
label("$E$",(0,2),NW);
label("$F$",(4,1),NE);
[/asy]

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