Answer:
Dimensions → (5 inches × 4 inches)
Step-by-step explanation:
Scale factor used for the drawing by Steffie = [tex]\frac{1}{3}[/tex]
Since, scale factor = [tex]\frac{\text{Dimension of the drawing}}{\text{Actual dimension}}[/tex]
For Steffie,
Actual length of the crate = [tex]\frac{\text{Dimension of the drawing}}{\text{Scale factor}}[/tex]
= [tex]\frac{15}{\frac{1}{3}}[/tex]
= 45 inches
Actual width of the crate = [tex]\frac{12}{\frac{1}{3} }[/tex]
= 36 inches
Since Brian used the scale factor = [tex]\frac{1}{9}[/tex]
Length of the drawing = Actual length × Scale factor
= 45 × [tex]\frac{1}{9}[/tex]
= 5 inches
Width of the drawing = Actual width × Scale factor
= 36 × [tex]\frac{1}{9}[/tex]
= 4 inches
Therefore, dimensions of the drawing made by Brian are (5 inches × 4 inches)