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The blueprint (a scale drawing used by architects and others) for Zahra’s new office measures `4` cm long and `2` cm wide. The scale for the blueprint is `6` cm to `15` ft. What is the length and width of her actual office?

Respuesta :

Using scale concepts, it is found that the length of her office is of 10 ft, while the width is of 5 ft.

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  • The scale of 6 cm to 15 ft means that each 6 cm in the drawing represent 15 ft in actual dimensions.
  • From this, a rule of three is applied to find the dimensions.

First, we find the actual length:

6 cm - 15 ft

4 cm - x ft

[tex]6x = 60[/tex]

[tex]x = \frac{60}{6}[/tex]

[tex]x = 10[/tex]

The actual length is of 10 ft.

Then, we find the actual width:

6 cm - 15 ft

2 cm - x ft

[tex]6x = 30[/tex]

[tex]x = \frac{30}{6}[/tex]

[tex]x = 5[/tex]

The actual width is of 5 ft.

A similar problem is given at https://brainly.com/question/24743277

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