Question

One type of carpet is sold for $4.50$ per square yard. How much will a carpet that is $12$ feet wide and $27$ feet long cost?

• A. $121.50$
• B. $144.00$
• C. $162.00$
• D. $445.50$
• E. $1458.00$

Answer 1

The correct option is C $162.00$

First, find the area of the carpet in square yards since the price is given in dollars per square yard.. To do this, convert the dimensions of the carpet from feet to yards by dividing both measurements by $3.$ (There are three feet in a yard.) The carpet is $4$ yards wide and $9$ yards long.
Next multiply the dimensions of the carpet together to find its area.
$4\times 9=36$
Therefore, the area of the carpet is $36$ square yards. Multiply this by $4.50$ to find the price of the carpet.
$4.50$ $\times 36=162$
Thus, a 36-square-yard carpet will cost 162.00.