Answer:
The length of the shelf is [tex]\frac{7}{2}=3\frac{1}{2}[/tex] feet.
Step-by-step explanation:
Given : A shelf width is [tex]1\frac{1}{8}[/tex] feet it's length is [tex]3\frac{1}{9}[/tex] times the width.
To find : How many feet is the shelf ?
Solution :
A shelf width is [tex]1\frac{1}{8}[/tex] feet.
A shelf width is [tex]w=\frac{9}{8}[/tex] feet.
Length is [tex]3\frac{1}{9}=\frac{28}{9}[/tex] times the width.
According to question,
[tex]l=\frac{28}{9}\times w[/tex]
[tex]l=\frac{28}{9}\times \frac{9}{8}[/tex]
[tex]l=\frac{7}{2}[/tex]
Therefore, the length of the shelf is [tex]\frac{7}{2}=3\frac{1}{2}[/tex] feet.