Question

the scale factor of the blueprint of a theater stage to the actual theater stage is 1in/6ft. the area of the stage on the blue print is 48in^2. what is the area of the actual stage?

Answer 1

Answer: 1728ft^2
The scale of the blueprint is 1in=6ft and the area of the stage is 48in^2. To convert the area, you just need to find the scale with inch^2. The equation would be:

1 inch=6ft 
inch^2= x ft^2
(6ft)^2= x ft^2
36ft^2= x ft^2
x=36

1 inch^2 =36 ft^2
area of the actual stage= 48 inch^2 * (36 ft^2/inch^2)= 1728ft^2