9. A rectangular plot of land $ABCD$ is divided into two rectangles as shown in the figure, which are contracted to households A and B, respectively. The area of the vegetable greenhouse of household A is equal to the area of the chicken farm of household B, and the remaining part of household A is 96 acres more than that of household B. Given that $BF=3CF$, what is the total area of the rectangle $ABCD$ in acres?
Given: $B F=3 C F$, so the rectangular area of household A is 3 times the rectangular area of household B. The vegetable greenhouse area of household A is equal to the chicken farm area of household B, and the remaining part of household A's area is 96 acres more than that of household B. This means the rectangular area of household A is 96 acres more than that of household B. According to the difference-multiplication problem, the rectangular area of household B is $96 \div(3-1)=48$ acres, so the total area of rectangle $A B C D$ is $48 \times(1+3)=192$ acres.