Answer:
W= 4.8 yards
Step-by-step explanation:
The area of a rectangular room can be calculated as follows:
A=W*L
Where W is the width and L is the length of the room
John's rectangular room has an area of 12 square yards and its length is 2 1/2 yards.
With the data provided we can easily find the width of the room by solving the formula of the area for W:
[tex]\displaystyle W =\frac{A}{L}[/tex]
The length must be converted to improper fraction:
[tex]\displaystyle L=2\frac{1}{2}=2+\frac{1}{2}=\frac{5}{2}[/tex]
Calculating the width:
[tex]\displaystyle W =\frac{12}{\frac{5}{2}}=12\cdot\frac{2}{5}[/tex]
[tex]\displaystyle W =\frac{24}{5}[/tex]
W= 4.8 yards