Answer:
[tex]Length=19 inches\\\\Width=5 inches[/tex]
Step-by-step explanation:
Let the width of the rectangle be 'w' inches
length of the rectangle= (2w+9) inches
Perimeter of the rectangle= 48 inches
Perimeter of a rectangle= 2(Length+Width)
[tex]48=2((2w+9)+w)\\\\48=2(2w+9+w)\\\\48=2(3w+9)\\\\48/2=3w+9\\\\24=3w+9\\\\3w=24-9\\\\3w=15\\\\w=15/3\\\\w=5 inches[/tex]
[tex]Width= 5 inches[/tex]
[tex]Length=(2w+9)=2(5)+9=19 inches[/tex]
[tex]Length=19 inches\\\\Width=5 inches[/tex]
