Afloor plan is given for the first floor of a new house. one inch represents 12 feet. if the bathroom is 1/4 in by 1/3 in on the floor plan, what are the actual dimensions? (round to the nearest hundredth)
36.36 ft by 48 ft
48 ft by 36.36 ft
3.96 ft by 3 ft
3 ft by 4 ft

The actual dimensions are:

              3 ft by 4 ft  

It is given that:

          One inch represents 12 feet.

i.e.   1 inch= 12 feet.

If the bathroom is 1/4 in by 1/3 in on the floor plan.

i.e. the dimensions of the bathroom are: 1/4 inch by 1/3 inch.

Now we know that:

   1/4 inch=12/4 feet

i.e.  1/4 inch= 3 feet.

and

1/3 inch= 12/3 feet

i.e.

1/3 inch= 4 feet

        Hence, the actual dimensions are:

                               3 ft by 4 ft.

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