Carpet sells for $4 per square foot and will cost you $720 to recarpet your rectangular room. If your room is 15 feet long, how many feet wide is it?

Respuesta :

Given:

total cost= $720

length=15 feet.

cost of per square feet=$4

let width of room is= x

then area of room is:

[tex]\begin{gathered} \text{Area}=\text{length}\times\text{width} \\ \text{Area}=15\times x \\ =15x \end{gathered}[/tex]

if the cost is $4 per square feet then total cost in room is:

[tex]\begin{gathered} \cos t=4\times15x \\ =60x \end{gathered}[/tex]

the given total cost is $720 then width of room is:

[tex]\begin{gathered} 60x=720 \\ x=\frac{720}{60} \\ x=12 \end{gathered}[/tex]

so width of room is 12 feet.