Answer :

Given:

The dimensions of the room are,

[tex]\begin{gathered} l=80ft \\ b=50ft \end{gathered}[/tex]

The dimensions of the carpet are,

[tex]\begin{gathered} l_1=10ft \\ b_1=50ft \end{gathered}[/tex]

To find:

The number of rolls of carpet.

Explanation:

The number of rolls of carpet is calculated by,

[tex]\begin{gathered} \frac{Area\text{ of the room}}{Area\text{ of a carpet rool}}=\frac{l\times b}{l_1\times b_1} \\ =\frac{80\times50}{10\times50} \\ =8rolls\text{ of carpet} \end{gathered}[/tex]

Therefore, the number of rolls of carpet is 8.

Final answer:

The number of rolls of carpet is 8.