## To find the length of the rectangle, you can use the perimeter formula: P = 2L + 2W, where P is the perimeter, L is the length, and W is the width.

In this problem, you are given that the perimeter (P) is 38 ft and the width (W) is 9 ft.

Substituting these values into the formula, you get: 38 = 2L + 2(9)

To solve for L, you need to isolate it on one side of the equation. Start by distributing the 2 to the 9: 38 = 2L + 18

Next, subtract 18 from both sides of the equation to move the constant term to the other side: 38 - 18 = 2L + 18 - 18

This simplifies to: 20 = 2L

Now you can solve for L by dividing both sides of the equation by 2: 20/2 = 2L/2

This gives you: 10 = L

Therefore, the length of the rectangle is 10 ft.