The floor of a room is covered with a carpet with a 2-color design. The room is square shaped. Each side has 12 ft.The red circle of the carpet,...

First, we'll evaluate the area of the room. Since the room
is a square, the area is:

A =
12ft*12ft

A = 144 ft^2

We'll
use now the 2 given prices and we'll calculate:

144ft^2 *
$10/ft^2 = $1440

144ft^2 * $12/ft^2 =
$1728

Now, we'll determine the diameter of the red carpet,
circle shaped. Since we have 2ft to each wall, the diameter will
be:

D = 12 - 4

D = 8
ft

r = 8/2 ft

r = 4
ft

The area of the red circle
is:

A = pi*r^2

A =
3.14*16

A of red carpet = 50.24
ft^2

The cost of the red carpet
is:

50.24 ft^2 * $12/ft^2 =
$602.88

The area of the white carpet
is:

144 ft^2 - 50.24 ft^2 = 93.76
ft^2

The cost of the white carpet
is:

93.76 ft^2 * $10/ft^2 =
$937.60

The total cost of the entire carpet
is:

$602.88 + $937.60 =
$1540.48