Question

# Find the dimensions of the reduction. To place a picture in his class newsletter, Joaquin must reduce the picture by a scale factor of 0.3 . Find the dimensions of the reduced picture if the origin is 15 centimeters wide and 10 centimeters high.

Vectors and spaces
Find the dimensions of the reduction.
To place a picture in his class newsletter, Joaquin must reduce the picture by a scale factor of 0.3 . Find the dimensions of the reduced picture if the origin is 15 centimeters wide and 10 centimeters high.

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 $$\displaystyle{0.3}{\left({10}\right)}={30.3}{\left({10}\right)}={3}{c}{m}.$$