Question

The blueprint (a scale drawing used by architects and others) for Zahra’s new office measures `4` cm long and `2` cm wide.

Answer 1

10 ft long and 5 ft wide

Explanation:

The scale for the blueprint is 6 cm to 15 ft.

The length in the drawing is 4 cm. Using proportions, we can find the length of the actual office:

`(15\ ft)/(6\ cm) =(x\ ft)/(4\ cm)`

Multiply both sides by 4/1:

`x=(4)/(1) *(15)/(6)\ ft\\\\x=(60)/(6)\ ft\\\\ x=10\ ft`

The width in the drawing is 2 cm, or half the length. So the width of her actual office must be 5 ft.