Respuesta :

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.