A model of an apartment is shown where 1/4 inch represents 3 feet in the actual apartment. Find the actual area of the master bedroom show your work

We know that 1/4 in represents 3 ft in the actual apartment.

For a mater bedroom:

L (model) = 1 in, W (model) = 3/4 in.

1 : x = 1/4 : 3

1/4 x = 3

x = 3 : 1/4 = 12; L = 12 ft

3/4 : y = 1/4 : 3

1/4 y = 9/4

y = 9/4 : 1/4 = 9; W = 9 ft.

Finally : Area = L x W = 12 x 9 = 108 ft²

Answer: the actual area of the master bedroom is 108 ft².