Question

Katie Made a scale drawing of a restaurant in real life the restaurant kitchen is 12 m wide it is 36 mm wide in the drawing what scale katie use for the drawing?

Answer 1

Scale : 1 mm =
`(1)/(3)\ m`

Or

Scale : 3 mm = 1 m

Explanation:

Let the scale used be 1 mm = 'x' m

Given:

Actual width of kitchen is 12 m.

Length used by Kate in drawing is 36 mm.

So, 36 mm in drawing is equivalent to 12 m in actual.

Therefore, 1 mm in drawing is equivalent to 'x' m in actual.

Taking proportions and solving by cross multiplication, we get

`(36)/(12)=(1)/(x)\\36x=12\\x=(12)/(36)\\x=(1)/(3)\ m`

Therefore, 1 mm in drawing is equal to
`(1)/(3)\ m` in actual.

Scale : 1 mm =
`(1)/(3)\ m`

Or

Scale : 3 mm = 1 m