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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
4 cm
Patio 2 cm
4.8 cm
Living Space
Garage
16.8 cm
Scale: 2 cm = 2.5 m

Respuesta :

danielmaduroh

Answer:

21m

Explanation:

The diagram and complete question is shown below. We know that the length (L) of the living scale in the drawing is:

[tex]L=16.8cm[/tex]

We also know that the scale is:

[tex]Scale:2cm=2.5m[/tex]

Then, by using proportion we have:

[tex]\frac{2.5m}{2cm}=\frac{x}{16.8cm} \\ \\ \\ Isolating \ x: \\ \\ x=\frac{2.5m}{2cm}(16.8cm) \\ \\ \boxed{x=21m}[/tex]

Ver imagen danielmaduroh

The actual length of the living space is 21 m.

  • The calculation is as follows:

The length of the scale drawing is 16.8 centimeters

Scale: 2 cm = 2.5 m

Here we assume the actual length of the living space be x.

[tex]\frac{2.5}{2} = \frac{x}{16.8} \\\\x = (2.5 \times 16.8) \div 2[/tex]

= 21 m

Therefore we can conclude that The actual length of the living space is 21 m.

Learn more: brainly.com/question/17429689

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