Answer:
[tex]15[/tex] inches
Step-by-step explanation:
Let the width be x.
Length = [tex]6+x[/tex]
Perimeter = Length + Length + Breadth + Breadth
Perimeter = [tex](6+x)+(6+x)+x+x=48[/tex]
[tex]6+x+6+x+x+x=48[/tex]
[tex]4x+12=48[/tex]
Subtract 12 from both sides:
[tex]4x+12-12=48-12[/tex]
[tex]4x=36[/tex]
Divide both sides by 4:
[tex]\frac{4x}{4}=\frac{36}{4}[/tex]
[tex]x=9[/tex] (Width)
Length = [tex]9+6=15[/tex] inches.
