Yvonne made a scale model of her art studio. In the scale model, the length of the floor of her studio is 4 in and the width is 3 in. The length of the floor in her actual art studio measures 12 ft.
What is the area, in square feet, of the floor of Yvonne's art studio?
A. 36 ft2
B. 48 ft2
C. 108 ft2
D. 192 ft2
To find the area of the floor of Yvonne's actual art studio, we first need to determine the scale factor between the scale model and the actual studio.
The scale factor is calculated as:
Scale factor = Actual length / Scale length
Scale factor = 12 ft / 4 in
Scale factor = 36 inches
Now, we can calculate the dimensions of the actual art studio:
Actual length = Scale length x scale factor
Actual length = 4 in x 36
Actual length = 144 in
Actual length = 12 ft
Actual width = Scale width x scale factor
Actual width = 3 in x 36
Actual width = 108 in
Actual width = 9 ft
The area of the floor of the art studio is:
Area = length x width
Area = 12 ft x 9 ft
Area = 108 ft2
Therefore, the correct answer is:
C. 108 ft2