Mathematics: 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?

17.5 square inches. Because to find volume if you have the base surface area you only have to multiply by the height....

Gregory draws a scale drawing of his room. The

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20.01.2022

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

$\frac{1\ cm}{4\ feet } = \frac{3\ cm }{x\ feet }$

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,

$\frac{1\ cm}{4\ feet } = \frac{3\ cm }{x\ feet }$

Therefore, Option C is correct

Given that,

Rob chose A as the correct answer. Which is,

$\frac{1}{4} = \frac{x}{3}$

But option A is wrong

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

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