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

Mathematics

1 answer:

Elina [12.6K]3 years ago

4 0

Answer:

Part B: $544.5

Step-by-step explanation:

PART B:

The area $A$ of the carpet is the product of its dimensions:

$A =22ft*9ft$

$A =198ft^2$ .

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

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

$C_b = \$396$ .

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

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

$C_i = \$148.5$ .

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

$C_{tot} = C_b+C_i$

$C_{tot} = \$396+\$148.5\\\\\boxed{C_{tot} = \$544.5}$

You might be interested in

. Shanice is making a garden. The area of the garden is 24 ft2. Use the following shape and information to find the base (6−4) a

crimeas [40]

Answer:

The base and height of the garden are 4.60 ft and 5.60 ft.

Step-by-step explanation:

The area of the garden is, A = 24 ft².

The base height of the garden are:

base (b) = 6x - 4

height (h) = x + 3

Compute the value of x as follows:

$A=\frac{1}{2}\times b \times h\\\\24=\frac{1}{2}\times (6x-4) \times (x+3)\\\\48=6x^{2}+18x-4x-12\\\\6x^{2}+14x-60=0\\\\3x^{2}+7x-30=0\\$

The last equation is a quadratic equation.

Compute the roots of the quadratic equation as follows:

$x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\\x = \frac{ -14 \pm \sqrt{14^2 - 4(3)(-30)}}{ 2(3) }\\x = \frac{ -14 \pm \sqrt{556}}{ 6 }\\x = \frac{ -14 }{ 6 } \pm \frac{2\sqrt{139}\, }{ 6 }\\x = -\frac{ 7}{ 3 } \pm \frac{ \sqrt{139}\, }{ 3 }\\x = 1.59661\\x\approx 1.60$