To find the area of Yvonne's actual studio floor, we need to find the scale factor first.
Scale Factor = Actual Length / Model Length
Scale Factor = 12 ft / 4 in
Scale Factor = 3 ft/in
Now, we can find the actual width of Yvonne's art studio by using the scale factor:
Actual Width = Model Width * Scale Factor
Actual Width = 3 in * 3 ft/in
Actual Width = 9 ft
Now, we can find the area of the floor:
Area = Length * Width
Area = 12 ft * 9 ft
Area = 108 ft2
Therefore, the area on the floor of Yvonne's art studio is 108 ft2, which corresponds to option C.
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 studio measures 12 ft.
What is the area, in square feet, on the floor of Yvonne's art studio?
A. 36 ft2
B. 48 ft2
C. 108 ft2
D. 192 ft2
1 answer