Lauren has a rectangular poster of a puppy on her bedroom wall. The width is one-sixth the length of the picture. If the width is 18 inches, write and solve an equation to determine the length.

Let's denote the length of the poster as "L". We are given that the width is one-sixth the length, so we can express this relationship as:

Width = (1/6) * Length

We are also given that the width is 18 inches, so we can substitute this value into the equation:

18 = (1/6) * Length

To solve for the length, we can multiply both sides of the equation by 6:

6 * 18 = Length

Length = 108 inches

Therefore, the length of the poster is 108 inches.