The blueprint for Zahra's new office measures 4 cm
long and 2 cm wide. The scale for the blueprint is 6 cm to 15 ft.
1.1 What is the length and width of her actual office?

Respuesta :

Using proportions, it is found that:

  • The length of her actual office is of 10 ft.
  • The width of her actual office is of 5 ft.

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  • Scale problems are solved using proportions, by a rule of three.
  • The scale is of 6 cm to 15 ft, which means that each 6 cm in the drawing represents 15 ft of real dimensions.

In the drawing, the length is of 4 cm, thus:

4 cm - x ft

6 cm - 15 ft

Applying cross multiplication:

[tex]6x = 60[/tex]

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

[tex]x = 10[/tex]

The length of her actual office is of 10 ft.

The width is of 2 cm, thus:

2 cm - x ft

6 cm - 15 ft

Applying cross multiplication:

[tex]6x = 30[/tex]

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

[tex]x = 5[/tex]

The width of her actual office is of 5 ft.

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