: 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 ho

Question

3 years ago

14

tel is 20 feet. How long is the room in the drawing?

1 answer:

natulia [17] · Answer 1 · 2022-08-03T02:33:37+03:00

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

$1:4::x:20$

Product of mean = Product of extreme

$4*x=20*1\\4x=20$

Dividing both sides by 4

$\frac{4x}{4}=\frac{20}{4}\\x=5$

The room is 5 inches long in the drawing.

Keywords: ratio, proportion

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