A scaled model of a 1-bedroom apartment is being showcased at an exhibit. The bedroom occupies \(\frac{1}{6}\) of the total floor area of the apartment and measures 2m x 3m in the model. What is the difference in meters between the width of the model bedroom and width of the actual bedroom if actual total floor area of the apartment is 144 sq m?
4 m
3 m
2 m
5 m
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