Question

The scale factor of a picture and the actual height of Sonia is 20 cm: 1.6 m. If her height in the picture is 18 cm, then her actual height is ______.

Options

• 14.4 m

• 2.25 m

• 1.78 m

• 1.44 m

Answer 1

The scale factor of a picture and the actual height of Sonia is 20 cm: 1.6 m. If her height in the picture is 18 cm, then her actual height is 1.44 m.

Explanation:

Convert 1.6 m to cm: 1.6 m = 160 cm.

Scale = Picture : Actual

= 20 cm : 160 cm

= 1 : 8 

So, actual height = 18 cm × 8

= 144 cm

= 1.44 m