Question

Lin and her brother each created a scale drawing of their backyard but at different scales.Lin used a scale of 1 inch to 1 foot. Her brother used a scale of 1 inch to 1 yard. Express the scale of the drawing without units

Answer 1

scale used by Lin =
`(1)/(12)` or 1 : 12

scale used by Lin =
`(1)/(36)` or 1 : 36

Explanation:

Data provided in the question:

Scale used by Lin = 1 inch to 1 foot

Now,

we know

1 foot = 12 inches

therefore,

scale used by Lin =
`\frac{\textup{1 inch}}{\textup{1 foot}}`

or

⇒ scale used by Lin =
`\frac{\textup{1 inch}}{\textup{12 inches}}`

or

⇒ scale used by Lin =
`(1)/(12)` or 1 : 12

Scale used by her brother = 1 inch to 1 yard

Now,

we know

1 yard = 36 inches

therefore,

scale used by her brother =
`\frac{\textup{1 inch}}{\textup{1 yard}}`

or

⇒ scale used by Lin =
`\frac{\textup{1 inch}}{\textup{36 inches}}`

or

⇒ scale used by Lin =
`(1)/(36)` or 1 : 36