5.5 cm
Step-by-step explanation:
Let x be the width of the rectangle.
Since the length is double the width, the length would be 2x.
x can be found by solving the perimeter equation. The perimeter of the rectangle can be found by the equation:
[tex]p = 2(l + w)[/tex]
[tex]33 = 2(2x + x)[/tex]
[tex]33 \div 2 = (2x + x)[/tex]
[tex]16.5 = 3x[/tex]
[tex]16.5 \div 3 = x[/tex]
[tex]5.5 = x[/tex]
Therefore, the width of the rectangle is 5.5 cm.