nevaehchan nevaehchan
  • 17-04-2021
  • Mathematics
contestada

A scale model of an object has a scale of 1cm : 2ft. The actual object is 11 feet tall. How tall is the model?

Respuesta :

erinna erinna
  • 22-04-2021

Given:

The scale model of an object has a scale of 1cm : 2ft.

The actual object is 11 feet tall.

To find:

The height of the model.

Solution:

It is given that the scale model of an object has a scale of 1cm : 2ft and the actual object is 11 feet tall.

Let the height of the model be x cm.

[tex]\dfrac{x\ cm}{11\ ft}=\dfrac{1\ cm}{2 \ ft}[/tex]

[tex]x\ cm=\dfrac{1 \ cm\times 11\ ft}{2 \ ft}[/tex]

[tex]x\ cm=5.5\ cm[/tex]

Therefore, the model is 5.5 cm tall.

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