Steffie makes a scale drawing for a crate with the demensions 15 inches long by 12 inches wide. Her scale factor is 1:3. Brian makes a scale drawing for steffie with the scale factor of 1:9. What is Brians dememsion?

Respuesta :

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)