Answer:
[tex]length=4\ cm\\width=6\ cm[/tex]
Step-by-step explanation:
Given the rectangular poster shown in the picture, you know that its dimensions (its width and its lenght) are:
[tex]w_1=24\ cm\\l_1=16\ cm[/tex]
In order to calculate the dimensions of the rectangular at [tex]\frac{1}{4}[/tex] times its current size, you need to multiply the original lenght by [tex]\frac{1}{4}[/tex] and multiply the original width by [tex]\frac{1}{4}[/tex].
Knowing this, you get:
[tex]w_2=w_1\frac{1}{4}\\\\w_2=(24\ cm)(\frac{1}{4})\\\\w_2=6\ cm\\\\\\l_2=l_1\frac{1}{4}\\\\l_2=(16\ cm)(\frac{1}{4})\\\\l_2=4\ cm[/tex]