What is the total area, in square feet, of the room?

square feet


Part B
Amy buys a rectangular piece of carpet that is 22 feet by 9 feet. The carpet costs $2.00 per square foot. The installer charges $0.75 per square foot to install the carpet but does not charge for the extra carpet not installed.

​What is the cost for Amy to buy the carpet and have it installed in the room? Do NOT include tax

Respuesta :

Answer:

Part B: $544.5

Step-by-step explanation:

PART B:

The area [tex]A[/tex] of the carpet is the product of its dimensions:

[tex]A =22ft*9ft[/tex]

[tex]A =198ft^2[/tex].

The carpet costs $2.00 per [tex]ft^2[/tex]; therefore, the total cost [tex]C_b[/tex] of the carpet will be

[tex]C_b = (2.00\$/ft^2)*198ft^2[/tex]

[tex]C_b = \$396[/tex].

Also, the installer charges $0.75 per [tex]ft^2[/tex] to install the carpet; therefore, the total cost [tex]C_i[/tex] of installation will be

[tex]C_i = (\$0.75/ft^2)*198ft^2[/tex]

[tex]C_i = \$148.5[/tex].

Thus, the total amount [tex]C_{tot}[/tex] it will cost Amy to buy the carpet and have it installed will be

[tex]C_{tot} = C_b+C_i[/tex]

[tex]C_{tot} = \$396+\$148.5\\\\\boxed{C_{tot} = \$544.5}[/tex]