Question

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 box.

Answer 1

To solve the problem we must know about the Ratio.

What is Ratio?

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

• The scale is given as 2 centimeters equals 2.5 meters.

To find

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

Scale ratio

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

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

Length of the living space

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:

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