What is the actual length of the living space if the length of the scale drawing is 16. 8 centimeters? Enter your answer in the

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2 years ago

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1 answer:

yaroslaw [1] · Answer 1 · 2022-12-08T18:50:51+03:00

To solve the problem we must know about the Ratio.

<h2>What is Ratio?</h2>

A ratio shows us the number of times a number contains another number.

The length of the living space, in reality, is 21 meters.

Given to us

To find

the actual length of the living space if the length of the scale drawing is 16. 8 centimeters

<h3>Scale ratio</h3>

As it is given that 2 cm on the scale drawing is equal to 2.5 meters in real, therefore, the ratio can be written as

$\dfrac{\text{Length of the scale drawing}}{\text{Length in reality}} = \dfrac{2\ cm}{2.5\ meters}$

<h3>Length of the living space</h3>

Using the same scale ratio,

$\dfrac{\text{Length of the living space in scale drawing}}{\text{Length of the living space in reality}} = \dfrac{2\ cm}{2.5\ meters}$

$\dfrac{16.8}{x} = \dfrac{2\ cm}{2.5\ meters}\\\\x=\dfrac{16.8 \times 2.5}{2} = 21\ meters$

Hence, the length of the living space, in reality, is 21 meters.

Learn more about Ratio: