Question

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?

Answer 1

Answer:

Dimensions → (5 inches × 4 inches)

Step-by-step explanation:

Scale factor used for the drawing by Steffie = $\frac{1}{3}$

Since, scale factor = $\frac{\text{Dimension of the drawing}}{\text{Actual dimension}}$

For Steffie,

Actual length of the crate = $\frac{\text{Dimension of the drawing}}{\text{Scale factor}}$

                                           = $\frac{15}{\frac{1}{3}}$

                                           = 45 inches

Actual width of the crate = $\frac{12}{\frac{1}{3} }$

                                         = 36 inches

Since Brian used the scale factor = $\frac{1}{9}$

Length of the drawing = Actual length × Scale factor

                                     = 45 × $\frac{1}{9}$

                                    = 5 inches

Width of the drawing = Actual width × Scale factor

                                   = 36 × $\frac{1}{9}$

                                   = 4 inches

Therefore, dimensions of the drawing made by Brian are (5 inches × 4 inches)