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

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valetta valetta · Answer 1 · 2019-11-07T12:09:41+01:00

Answer:

scale used by Lin = [tex]\frac{1}{12}[/tex] or 1 : 12

scale used by Lin = [tex]\frac{1}{36}[/tex] or 1 : 36

Step-by-step 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 = [tex]\frac{\textup{1 inch}}{\textup{1 foot}}[/tex]

or

⇒ scale used by Lin = [tex]\frac{\textup{1 inch}}{\textup{12 inches}}[/tex]

or

⇒ scale used by Lin = [tex]\frac{1}{12}[/tex] 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 = [tex]\frac{\textup{1 inch}}{\textup{1 yard}}[/tex]

or

⇒ scale used by Lin = [tex]\frac{\textup{1 inch}}{\textup{36 inches}}[/tex]

or

⇒ scale used by Lin = [tex]\frac{1}{36}[/tex] or 1 : 36