Respuesta :

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.

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