The area of a rectangle is 18 square centimeters. the length is twice the width. what is the width of the rectangle? 3cm 2cm 6cm 9cm

3cm.

Since the length would be twice as big, we know the dimensions must be 3 and 6cms respectively.

Let the width be x.

⇒ Width = x

Length is twice the width.

⇒ Length = 2x

The area is 18 cm ²

⇒ x (2x) = 18

Solve x:

x (2x) = 18

Distribute x:

2x² = 18

Divide both sides by 2:

x² = 9

Square root both sides:

x = 3

Width = x = 3 cm

Length = 2x = 2 (3) = 6 cm

Answer: Width = 3cm