To solve this problem you must apply the proccedure shown below:
1. You have that the area of the room is:
[tex]A=(27ft)(32ft) \\ A=864 ft^{2} [/tex]
2. The width of the carpet in feet is:
[tex]width=2.25 ft[/tex]
3.Now, to find the length of the carpet needed, you must apply the formula for calculate the area of a rectangle and solve for the length, as following:
[tex]A=(lenght)(width) \\ 864 ft^{2} =(lenght)(2.25 ft) \\lenght= 864 ft^{2}/(2.25 ft) \\ length=384 ft \\ length=128 yards[/tex]
The answer is:[tex]128 yards[/tex]
