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

Dimensions → (5 inches × 4 inches)

Explanation:

Scale factor used for the drawing by Steffie =
`(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}}`

=
`(15)/((1)/(3))`

= 45 inches

Actual width of the crate =
`(12)/((1)/(3) )`

= 36 inches

Since Brian used the scale factor =
`(1)/(9)`

Length of the drawing = Actual length × Scale factor

= 45 ×
`(1)/(9)`

= 5 inches

Width of the drawing = Actual width × Scale factor

= 36 ×
`(1)/(9)`

= 4 inches

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