Question

Dev wants to install carpets in his bedroom.
The dimensions of his apartment are as shown below.

If the cost of carpeting the floor is $75 per ft², what would the cost of carpeting his bedroom floor be?

• A. $17267
• B. $18927
• C. $21831
• D. $17325

Answer 1

The correct option is D $17325

To find the cost of carpeting the floor of Dev's bedroom, we need to find the area available to install the carpet, i.e.,
Area of the bedroom − Area of the bathroom


$Areaofbedroom$
$=\text{Length of the bedroom}\times \text{Width of the bedroom}$
$=16ft\times 16ft=256ft²$

$Areaofbathroom$
$=\text{Length of the bathroom}\times \text{Width of the bathroom}$
$=5ft\times 5ft=25ft²$

$Thus,$
$\text{Area to install the carpet}=256-25=231ft²$

$\text{Cost to carpet the floors}=\$75perft²$

$Thus,$
$\text{Cost of installing the carpets}=231\times 75=\$17325$