A scale factor is the ratio of the dilated image's dimension and the original image's corresponding dimension. A scale factor then tells you what you need to multiply the dimensions of the original image by to get the dimensions of the dilated image.

A scale factor of 0.3 then means the dimensions of the reduced picture are 0.3 times the dimensions of the original picture.

The original picture has a width of 15 cm so if the reduced picture has a width that is 0.3 times the width of the original picture, then the reduced picture has a width of \(\displaystyle{0.3}{\left({15}\right)}={4.50}{.3}{\left({15}\right)}={4.5}{c}{m}.\)

The original picture has a height of 10 cm so if the reduced picture has a height that is 0.3 times the height of the original picture, then the reduced picture has a height of \(\displaystyle{0.3}{\left({10}\right)}={30.3}{\left({10}\right)}={3}{c}{m}.\)

The dimensions of the reduced picture are then 4.5 cm wide and 3 cm high 4.5 cm wide and 3 cm high

A scale factor of 0.3 then means the dimensions of the reduced picture are 0.3 times the dimensions of the original picture.

The original picture has a width of 15 cm so if the reduced picture has a width that is 0.3 times the width of the original picture, then the reduced picture has a width of \(\displaystyle{0.3}{\left({15}\right)}={4.50}{.3}{\left({15}\right)}={4.5}{c}{m}.\)

The original picture has a height of 10 cm so if the reduced picture has a height that is 0.3 times the height of the original picture, then the reduced picture has a height of \(\displaystyle{0.3}{\left({10}\right)}={30.3}{\left({10}\right)}={3}{c}{m}.\)

The dimensions of the reduced picture are then 4.5 cm wide and 3 cm high 4.5 cm wide and 3 cm high