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Gregory draws a scale drawing of his room. The scale that he uses is 1cm: 4ft. On this drawing, the room is 3cm long. Which equation can be used to find the actual length of Gregory's room?
A. 1/4 = x/3 C. 1/4 = 3/x

B. x/4 = 1/3 D. 1/x = 4/3

Rob chose A as the correct answer. What did he do wrong?

Respuesta :

The equation can be used to find the actual length of Gregory's room is:

[tex]\frac{1\ cm}{4\ feet } = \frac{3\ cm }{x\ feet }[/tex]

Solution:

Given that,

The scale that he uses is:

1 cm : 4 feet

On this drawing, the room is 3 cm long

Let "x" be the actual length of room

Therefore,

1 cm : 4 feet

3 cm : "x" feet

This forms a proportion. Therefore,

[tex]\frac{1\ cm}{4\ feet } = \frac{3\ cm }{x\ feet }[/tex]

Therefore, Option C is correct

Given that,

Rob chose A as the correct answer. Which is,

[tex]\frac{1}{4} = \frac{x}{3}[/tex]

But option A is wrong

So, Rob made a mistake in measuring the equivalent ratio, it should be [tex]\frac{1\ cm}{4\ feet } = \frac{3\ cm }{x\ feet }[/tex]

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