Question

A blueprint of a bedroom has a scale of 1 4 inch is equivalent to 1 foot. If the closet measures 1 2 inch by 3 4 inch on the blueprint, what are the actual dimensions of the closet?

Answer 1

Answer:

The actual dimensions of the closet are 2 ft by 3 ft.

Step-by-step explanation:

According to the scale, 1/4 inch <--> 1 foot

The closet dimensions on the scale are (1/2 inch, 3/4) or (2/4 inch, 3/4). Let the real closet dimensions be (x,y).

In this case, the rule of three can be applied to find the missing term of a proportion:

$x*\frac{1}{4} = 1*\frac{2}{4}\\x=2\\y*\frac{1}{4} = 1*\frac{3}{4}\\y=3$

The actual dimensions of the closet are 2 ft by 3 ft.