: Kenneth measured a hotel and made a scale drawing. The scale he used was 1 inch =4 feet. The actual length of a room in the hotel is 20 feet. How long is the room in the drawing? ​

Respuesta :

The room is 5 inches long in the drawing.

Step-by-step explanation:

Given,

Scale drawing used by Kenneth;

1 inch = 4 feet

Ratio of scale = 1:4

Actual length of room = 20 feet

Let,

x be the length in drawing

Ratio of actual length = x:20

Using proportion

Scale ratio :: Actual ratio

[tex]1:4::x:20[/tex]

Product of mean = Product of extreme

[tex]4*x=20*1\\4x=20[/tex]

Dividing both sides by 4

[tex]\frac{4x}{4}=\frac{20}{4}\\x=5[/tex]

The room is 5 inches long in the drawing.

Keywords: ratio, proportion

Learn more about proportion at:

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