Question

A floor 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

Answer 1

3 ft. by 4 ft. because 1/4 inch of an inch is 3ft while 1/3 inch of an inch is 4 ft.

Answer 2

The actual dimensions are:

3 ft by 4 ft

Explanation:

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.