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Stels [109]
2 years ago
11

A desk is 2 meters long and 1 meter wide. The desk needs to be represented in a scale drawing of an office that uses a scale of

1 centimeter = 0.5 meter. What are the dimensions of the desk in the drawing?
Mathematics
1 answer:
Strike441 [17]2 years ago
3 0

Answer:

<em>Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.</em>

Step-by-step explanation:

<u>Scaling</u>

The scale factor established to represent a desk 2 meters long and 1 meter wide is:

1 centimeter = 0.5 meter

We need to convert the real dimensions to the scaled dimensions. To complete the task, it's a good idea to multiply the real dimensions by the ratio:

\displaystyle \frac{1\ cm}{0.5\ m}

to get the scaled dimensions.

The length of 2 meters is scaled to:

\displaystyle 2\ m\frac{1\ cm}{0.5\ m}=4\ cm

And the width of 1 meter is scaled to:

\displaystyle 1\ m\frac{1\ cm}{0.5\ m}=2 cm

Thus, the dimensions of the desk in the drawing are 4 cm long and 2 cm wide.

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