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 12ft
What is the area, in square feet, of the floor of Yvonne's art studio?
A. 36 ft2
B. 48ft2
C. 108 ft2
D. 192 ft2
To find the area of the floor of Yvonne's art studio in square feet, you need to use the scale factor to convert the measurements from the scale model to the actual art studio.
First, calculate the scale factor:
Scale factor = Actual length / Model length
Scale factor = 12ft / 4in
Scale factor = 3
Now, apply the scale factor to find the actual width of the floor:
Actual width = Model width * Scale factor
Actual width = 3in * 3
Actual width = 9ft
Now, calculate the area of the floor:
Area = Length * Width
Area = 12ft * 9ft
Area = 108 ft^2
Therefore, the area of the floor of Yvonne's art studio is 108 ft^2, which is option C.