Question

what will it cost to carpet a rectangular floor measuring 27 feet by 12 feet if the carpet costs $27.42 per square yard? it will cost $

Explanation:

Step1: Convert feet to yards

Since \(1\) yard \( = 3\) feet, the length \(l=\frac{27}{3}=9\) yards and the width \(w = \frac{12}{3}=4\) yards.

Step2: Calculate the area of the rectangle

The area formula for a rectangle is \(A=l\times w\). Substituting \(l = 9\) and \(w = 4\), we get \(A=9\times4 = 36\) square yards.

Step3: Calculate the cost

The cost \(C\) is the area \(A\) times the cost per square yard. Given the cost per square yard is \(\$27.42\), so \(C=36\times27.42\).

$$
LATEXBLOCK0
$$

Answer:

\(987.12\)