The width of the rug is 9 feet.
Step-by-step explanation:
Perimeter of rug = 42 feet
Lengths are same in square and rectangle shapes; therefore;
Length of rug = 12 feet
Width of rug = w
Perimeter = Length + Length + Width + Width
Perimeter = [tex]12+12+w+w[/tex]
[tex]42=24+2w\\42-24=2w\\18=2w\\2w=18[/tex]
Dividing both sides by 2
[tex]\frac{2w}{2}=\frac{18}{2}\\w=9[/tex]
The width of the rug is 9 feet.
Keywords: perimeter, division
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