Question

A home remodeling company charges $10 per square yard for installing new carpets. What is the cost for installing a carpet for a room that measures 12.0 feet by 15.0 feet?

I got $600, but the answer is $200?

Answer 1

$200.0 is the cost for installing a carpet for a room that measures 12.0 feet by 15.0 feet.

Step-by-step explanation:

Length of the room = l = 15.0 ft =
`(15.0)/(3) yard=5.0 yard`

Width of the room = w = 12.0 ft =
`(12.0)/(3) yard=4.0 yard`

(1 yard = 3 feet)

Area of the room = l × w =
`4.0 yard* 5.0 yard = 20.0 yard^2`

Cost for installing a carpet for a room = $10 per square yard

Cost for installing a carpet for a room wit area 20.0 square yard :

`20.0 yard^2* $10/ yard^2=$200.0`

$200.0 is the cost for installing a carpet for a room that measures 12.0 feet by 15.0 feet.