Question

Larry and his brother wanted to put new carpet down in threerooms in his house. The three rooms measured 10' x 12, 13' x 15,and 12' x 12'. If the carpet Larry wants to use is $25.56 a sq. yd.and the roll of padding is $99 for a 30 sq.yd. roll, answer thefollowing questions. Remember that 1 square yard = 9 square feet.1. Total square footage to be covered with carpeting would besquare feet.2. How many square yards would that be?sq.yd.3. Based on the price of $25.56 a sq.yd., what would the total costbe for the carpeting? $4. To make sure Larry has enough padding, how many rolls wouldhe have to buy?What would that cost? $5. What would the total cost of the carpeting job be includingcarpet and padding? $

Answer 1

Part 1)

Find the area of each room and then add the three areas.

`\begin{gathered} 10*12=120 \\ 13*15=195 \\ 12*12=144 \\ \\ 120+195+144=459 \end{gathered}`

The total square footage to be covered is 459.

Part 2)

Since each square yard has 9 square feet, divide the square footage by 9 to find how many yards is that equal to:

`(459)/(9)=51`

Then, the area is equal to 51 square yards.

Part 3)

The cost for each square yard is $25.56. Multiply that amount by 51 to find the total cost:

`25.56*51=1303.56`

The total cost for the carpeting is $1303.56.

Part 4)

Each roll of padding has 30 square yards. Since 51 yards must be covered, and two rolls would yield 60 square yards, then, the minimum amount of rolls needed is 2.

The cost for 2 rolls would be 2*$99 = $198.

Part 5)

Add the cost of the two rolls of padding and the carpeting job to find the total cost:

`\text{ \$}198+\text{ \$}1303.56=\text{ \$}1501.56`

Then, the total cost of the carpeting job including the carpet and padding would be $1501.56.

Therefore, the answers are:

Part 1) 459 square feet.

Part 2) 51 square yards.

Part 3) $1303.56

Part 4) 2 rolls for $198

Part 5) $1501.56